193 (number)

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193 (one hundred [and] ninety-three) is the natural number following 192 and preceding 194.

In mathematics

193 is the number of compositions of 14 into distinct parts.[1] In decimal, it is the seventeenth full repetend prime, or long prime.[2]

Aside from itself, the friendly giant (the largest sporadic group) holds a total of 193 conjugacy classes.[8] It also holds at least 44 maximal subgroups aside from the double cover of 𝔹 (the forty-fourth prime number is 193).[8][9][10]

193 is also the eighth numerator of convergents to Euler's number; correct to three decimal places: e193712.718309859 [11] The denominator is 71, which is the largest supersingular prime that uniquely divides the order of the friendly giant.[12][13][14]

See also

References

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