100,000

From Wikipedia, the free encyclopedia
(Redirected from One hundred thousand)
Jump to navigation Jump to search

Script error: No such module "redirect hatnote". Template:Pp-pc Template:Pp-move-indef Template:Infobox number 100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

Terms for 100,000

In Bangladesh, India, Pakistan and South Asia, one hundred thousand is called a lakh, and is written as 1,00,000. The Thai, Lao, Khmer and Vietnamese languages also have separate words for this number: Script error: No such module "Lang"., Script error: No such module "Lang"., Script error: No such module "Lang". (all saen), and Script error: No such module "Lang". respectively. The Malagasy word is Script error: No such module "Lang"..[1]

In the Netherlands, a 'ton' is a colloquialism for a denomination of 100.000 monetary units. In the guilders period a ton would denote 100.000 guilders. With the introduction of the euro, a ton would come to mean 100.000 euros. The usage is mostly limited to the financial sphere and the buying and selling of houses. It is not used in official settings because of the ambiguity with commonly used metric tonne. While usage is common in the Netherlands, it sees almost no use in Belgium.Script error: No such module "Unsubst".

In Cyrillic numerals, it is known as the legion (Template:Script): File:Legion-1000000-Cyrillic.svg or File:Несведь.svg.

Values of 100,000

In astronomy, 100,000 metres, 100 kilometres, or 100 km (62 miles) is the altitude at which the Fédération Aéronautique Internationale (FAI) defines spaceflight to begin.

In paleoclimatology, the 100,000-year problem is a mismatch between the temperature record and the modeled incoming solar radiation.

In the Irish language, Template:Wikt-lang (Script error: No such module "IPA".) is a popular greeting meaning "a hundred thousand welcomes".

Selected 6-digit numbers (100,001–999,999)

100,001 to 199,999

  • 147,640 = Keith number[15]
  • 148,149 = Kaprekar number[25]
  • 152,381 = unique prime in base 20
  • 156,146 = Keith number[15]
  • 155,921 = smallest prime number being the only prime in an interval from 100n to 100n + 99
  • 160,000 = 204
  • 160,176 = number of reduced trees with 26 nodes[26]
  • 161,051 = 115
  • 161,280 = highly totient number[5]
  • 166,320 = 31st highly composite number[11]
  • 167,400 = harmonic divisor number[8]
  • 167,894 = number of ways to partition {1,2,3,4,5,6,7,8} and then partition each cell (block) into subcells.[27]
  • 173,525 = number of partitions of 49[7]
  • 173,600 = harmonic divisor number[8]
  • 174,680 = Keith number[15]
  • 174,763 = Wagstaff prime[28]
  • 176,906 = number of 24-bead necklaces (turning over is allowed) where complements are equivalent[29]
  • 177,147 = 311
  • 177,777 = smallest natural number requiring 19 syllables in American English, 21 in British English
  • 178,478 = Leyland number[23]
  • 181,440 = highly totient number[5]
  • 181,819 = Kaprekar number[25]
  • 182,362 = number of 23-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[30]
  • 183,186 = Keith number[15]
  • 183,231 = number of partially ordered set with 9 unlabeled elements[31]
  • 187,110 = Kaprekar number[25]
  • 189,819 = number of letters in the longest English word, taking 3 hours to pronounce[32]
  • 194,481 = 214
  • 195,025 = Pell number,[33] Markov number[24]
  • 196,418 = Fibonacci number,[16] Markov number[24]
  • 196,560 = the kissing number in 24 dimensions
  • 196,883 = the dimension of the smallest nontrivial irreducible representation of the Monster group
  • 196,884 = the coefficient of q in the Fourier series expansion of the j-invariant. The adjacency of 196883 and 196884 was important in suggesting monstrous moonshine.
  • 199,999 = prime number

200,000 to 299,999

300,000 to 399,999

  • 310,572 = Motzkin number[12]
  • 314,159 = pi-prime
  • 316,749 = number of reduced trees with 27 nodes[26]
  • 317,811 = Fibonacci number[16]
  • 317,955 = number of trees with 19 unlabeled nodes[18]
  • 318,682 = Kaprekar number[25]
  • 325,878 = Fine number[44]
  • 326,981 = alternating factorial[45]
  • 329,967 = Kaprekar number[25]
  • 331,776 = 244
  • 332,640 = 34th highly composite number;[11] harmonic divisor number[8]
  • 333,333 = repdigit
  • 333,667 = sexy prime and unique prime[46]
  • 333,673 = sexy prime with 333,679
  • 333,679 = sexy prime with 333,673
  • 337,500 = 22 × 33 × 55
  • 337,594 = number of 25-bead necklaces (turning over is allowed) where complements are equivalent[29]
  • 349,716 = number of 24-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[30]
  • 351,351 = only known odd abundant number that is not the sum of some of its proper, nontrivial (i.e. >1) divisors (sequence A122036 in the OEIS).
  • 351,352 = Kaprekar number[25]
  • 355,419 = Keith number[15]
  • 356,643 = Kaprekar number[25]
  • 356,960 = number of primitive polynomials of degree 23 over GF(2)[14]
  • 360,360 = harmonic divisor number;[8] smallest number divisible by the numbers from 1 to 15 (there is no smaller number divisible by the numbers from 1 to 14 since any number divisible by 3 and 5 must be divisible by 15)
  • 362,880 = 9!, highly totient number[5]
  • 369,119 = prime number which divides the sum of all primes less than or equal to it[47]
  • 369,293 = smallest prime with the property that inserting a digit anywhere in the number will always yield a composite[48]
  • 370,261 = first prime followed by a prime gap of over 100
  • 371,293 = 135, palindromic in base 12 (15AA5112)
  • 389,305 = self-descriptive number in base 7
  • 390,313 = Kaprekar number[25]
  • 390,625 = 58
  • 397,585 = Leyland number[23]

400,000 to 499,999

  • 409,113 = sum of the first nine factorials
  • 422,481 = smallest number whose fourth power is the sum of three smaller fourth powers
  • 423,393 = Leyland number[23]
  • 426,389 = Markov number[24]
  • 426,569 = cyclic number in base 12
  • 437,760 to 440,319 = Script error: No such module "anchor".any of these numbers will cause the Apple II+ and Apple IIe computers to crash to a monitor prompt when entered at the BASIC prompt, due to a short-cut in the Applesoft code programming of the overflow test when evaluating 16-bit numbers.[49] Entering 440000 at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded.
  • 444,444 = repdigit
  • 456,976 = 264
  • 461,539 = Kaprekar number[25]
  • 466,830 = Kaprekar number[25]
  • 470,832 = Pell number[33]
  • 483,840 = highly totient number[5]
  • 492,638 = number of signed trees with 12 nodes[9]
  • 498,960 = 35th highly composite number[11]
  • 499,393 = Markov number[24]
  • 499,500 = Kaprekar number[25]

500,000 to 599,999

  • 500,500 = Kaprekar number,[25] sum of first 1,000 integers
  • 509,203 = Riesel prime[50]
  • 510,510 = the product of the first seven prime numbers, thus the seventh primorial.[51] It is also the product of four consecutive Fibonacci numbers—13, 21, 34, 55, the largest such sequence of any length to be also a primorial. And it is a double triangular number, the sum of all even numbers from 0 to 1428.
  • 514,229 = Fibonacci prime,[52]
  • 518,859 = Schröder–Hipparchus number[4]
  • 524,287 = Mersenne prime[21]
  • 524,288 = 219
  • 524,649 = Leyland number[23]
  • 525,600 = minutes in a non-leap year
  • 527,040 = minutes in a leap year
  • 531,441 = 312
  • 533,169 = Leyland number[23]
  • 533,170 = Kaprekar number[25]
  • 537,824 = 145
  • 539,400 = harmonic divisor number[8]
  • 548,834 = equal to the sum of the sixth powers of its digits
  • 554,400 = 36th highly composite number[11]
  • 555,555 = repdigit
  • 586,081 = number of prime numbers having seven digits.[53]
  • 599,999 = prime number.

600,000 to 699,999

  • 604,800 = number of seconds in a week
  • 614,656 = 284
  • 625,992 = Riordan number
  • 629,933 = number of reduced trees with 28 nodes[26]
  • 645,120 = double factorial of 14
  • 646,018 = Markov number[24]
  • 649,532 = number of 26-bead necklaces (turning over is allowed) where complements are equivalent[29]
  • 664,579 = the number of primes under 10,000,000
  • 665,280 = 37th highly composite number[11]
  • 665,857/470,832 ≈ √2
  • 666,666 = repdigit
  • 671,092 = number of 25-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[30]
  • 676,157 = Wedderburn–Etherington number[20]
  • 678,570 = Bell number[13]
  • 694,280 = Keith number[15]
  • 695,520 = harmonic divisor number[8]

700,000 to 799,999

  • 700,001 = prime number.
  • 707,281 = 294
  • 720,720 = 10th superior highly composite number;[54] 10th colossally abundant number;[55] 38th highly composite number,[56] smallest number divisible by the numbers from 1 to 16
  • 725,760 = highly totient number[5]
  • 726,180 = harmonic divisor number[8]
  • 729,000 = 903
  • 739,397 = largest prime that is both right- and left-truncatable.
  • 742,900 = Catalan number[35]
  • 753,480 = harmonic divisor number[8]
  • 759,375 = 155
  • 762,701 – smallest known composite Riesel number
  • 765,623 = emirp, Friedman prime 56 × 72 − 6 ÷ 3
  • 777,777 = repdigit, smallest natural number requiring 20 syllables in American English, 22 in British English, largest number in English not containing the letter 'i' in its name
  • 783,700 = initial number of third century xx00 to xx99 (after 400 and 1,400) containing seventeen prime numbers[57]Template:Efn {783,701, 783,703, 783,707, 783,719, 783,721, 783,733, 783,737, 783,743, 783,749, 783,763, 783,767, 783,779, 783,781, 783,787, 783,791, 783,793, 783,799}
  • 799,999 = prime number.

800,000 to 899,999

  • 810,000 = 304
  • 823,065 = number of trees with 20 unlabeled nodes[18]
  • 823,543 = 77
  • 825,265 = smallest Carmichael number with 5 prime factors
  • 832,040 = Fibonacci number[16]
  • 853,467 = Motzkin number[12]
  • 857,375 = 953
  • 873,612 = 11 + 22 + 33 + 44 + 55 + 66 + 77
  • 888,888 = repdigit
  • 890,625 = automorphic number[10]

900,000 to 999,999

Script error: No such module "redirect hatnote".

  • 900,001 = prime number
  • 901,971 = number of free 14-ominoes
  • 909,091 = unique prime in base 10
  • 923,521 = 314
  • 925,765 = Markov number[24]
  • 925,993 = Keith number[15]
  • 950,976 = harmonic divisor number[8]
  • 956,619: 956619^2=915119911161, and only the digits 1, 5, 6 and 9 are used in both this number and its square.
  • 967,680 = highly totient number[5]
  • 970,299 = 993, the largest 6-digit cube
  • 998,001 = 9992, the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998.[58]
  • 998,991 = largest triangular number with 6 digits and the 1413th triangular number
  • 999,983 = largest 6-digit prime number
  • 999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13, and it is the largest number in English not containing the letter 'l' in its name.

Prime numbers

There are 9,592 primes less than 105, where 99,991 is the largest prime number smaller than 100,000.

Increments of 105 from 100,000 through a one million have the following prime counts:

  • 8,392 primes between 100,000 and 200,000.Template:Efn This is a difference of 1,200 primes from the previous range.
    • 104,729 is the 10,000th prime, which is in this range.
    • 199,999 is prime.
  • 8,013 primes between 200,000 and 300,000.Template:Efn A difference of 379 primes from the previous range.
    • 224,737 is the 20,000th prime.
  • 7,863 primes between 300,000 and 400,000.Template:Efn A difference of 150 primes from the previous range.
    • 350,377 is the 30,000th prime.
  • 7,678 primes between 400,000 and 500,000.Template:Efn A difference of 185 primes from the previous range. Here, the difference increases by a count of 35.
    • 479,909 is the 40,000th prime.
  • 7,560 primes between 500,000 and 600,000.Template:Efn A difference of 118 primes from the previous range.
    • 7,560 is the twentieth highly composite number.[11]
    • 599,999 is prime.
  • 7,445 primes between 600,000 and 700,000.Template:Efn A difference of 115 primes from the previous range.
    • 611,953 is the 50,000th prime.
  • 7,408 primes between 700,000 and 800,000.Template:Efn A difference of 37 primes from the previous range.
    • 700,001 and 799,999 are both prime.
    • 746,773 is the 60,000th prime.
  • 7,323 primes between 800,000 and 900,000.Template:Efn A difference of 85 primes from the previous range. Here, the difference increases by a count of 48.
    • 882,377 is the 70,000th prime.
  • 7,224 primes between 900,000 and 1,000,000.Template:Efn A difference of 99 primes from the previous range. The difference increases again, by a count of 14.
    • 900,001 is prime.

In total, there are 68,906 prime numbers between 100,000 and 1,000,000.[59]

Notes

Template:Notelist

References

Template:Reflist

Template:Large numbers Template:Integers

  1. ↑ Script error: No such module "citation/CS1".
  2. ↑ Template:Cite OEIS
  3. ↑ Script error: No such module "citation/CS1".
  4. ↑ a b Template:Cite OEIS
  5. ↑ a b c d e f g h i j Template:Cite OEIS
  6. ↑ Template:Cite OEIS
  7. ↑ a b c d Template:Cite OEIS
  8. ↑ a b c d e f g h i j k l m Template:Cite OEIS
  9. ↑ a b Template:Cite OEIS
  10. ↑ a b Template:Cite OEIS
  11. ↑ a b c d e f g h i Template:Cite OEIS
  12. ↑ a b c Template:Cite OEIS
  13. ↑ a b Template:Cite OEIS
  14. ↑ a b c Template:Cite OEIS
  15. ↑ a b c d e f g h i j Template:Cite OEIS
  16. ↑ a b c d Template:Cite OEIS
  17. ↑ Template:Cite OEIS
  18. ↑ a b c Template:Cite OEIS
  19. ↑ Template:Cite OEIS
  20. ↑ a b c Template:Cite OEIS
  21. ↑ a b Template:Cite OEIS
  22. ↑ Template:Cite OEIS
  23. ↑ a b c d e f g h Template:Cite OEIS
  24. ↑ a b c d e f g h Template:Cite OEIS
  25. ↑ a b c d e f g h i j k l m n Template:Cite OEIS
  26. ↑ a b c Template:Cite OEIS
  27. ↑ Template:Cite OEIS
  28. ↑ Template:Cite OEIS
  29. ↑ a b c Template:Cite OEIS
  30. ↑ a b c Template:Cite OEIS
  31. ↑ Template:Cite OEIS
  32. ↑ Script error: No such module "citation/CS1".
  33. ↑ a b Template:Cite OEIS
  34. ↑ Template:Cite OEIS
  35. ↑ a b Template:Cite OEIS
  36. ↑ Template:Cite OEIS
  37. ↑ Script error: No such module "citation/CS1".
  38. ↑ Template:Cite OEIS
  39. ↑ Script error: No such module "citation/CS1".
  40. ↑ Template:Cite OEIS
  41. ↑ Template:Cite OEIS
  42. ↑ Template:Cite OEIS
  43. ↑ Script error: No such module "citation/CS1".
  44. ↑ Template:Cite OEIS
  45. ↑ Template:Cite OEIS
  46. ↑ Template:Cite OEIS
  47. ↑ Template:Cite OEIS
  48. ↑ Template:Cite OEIS
  49. ↑ Script error: No such module "citation/CS1". Disassembled ROM. See comments at $DA1E.
  50. ↑ Template:Cite OEIS
  51. ↑ Template:Cite OEIS
  52. ↑ Template:Cite OEISTemplate:Cite OEIS
  53. ↑ Template:Cite OEIS
  54. ↑ Template:Cite OEIS
  55. ↑ Template:Cite OEIS
  56. ↑ Script error: No such module "citation/CS1".
  57. ↑ Template:Cite OEIS
  58. ↑ Script error: No such module "citation/CS1".
  59. ↑ Script error: No such module "citation/CS1". From the differences of the prime indexes of the smallest and largest prime numbers in ranges of increments of 105, plus 1 (for each range).
Retrieved from "http://debianws.lexgopc.com/wiki143/index.php?title=100,000&oldid=1120756"