Properties of the Number 31099

Thirty-One Thousand Ninety-Nine

Basics

Value: 31098 → 31099 → 31100

Parity: odd

Prime: No

Previous Prime: 31091

Next Prime: 31121

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 137 × 227

Divisors: 1, 137, 227, 31099

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100101111011

Octal: 74573

Duodecimal: 15BB7

Hexadecimal: 797b

Square: 967147801

Square Root: 176.34908562280668

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that min(x(i) - x(i-1)) <= number of distinct parts of p. A241824

Total number of fixed points in all heapable permutations of length n. A388139

Number of subsets of {1, 2, ..., n} containing n and having <=9 pairwise coprime elements. A186993

Expansion of ∑_k>=1 (-1 + ∏_j>=2 1 / (1 - x^k·j)). A329435

a(n) is the number of 132-avoiding permutations p so that p³ is the identity permutation. A370686

arctanh(arctanh(x)*exp(x))=x+2/2!*x²+7/3!*x³+36/4!*x⁴+293/5!*x⁵... A12717

a(n)=least k such that base 9 representation of n begins at s(k), where s=A031098. A31099