Properties of the Number 10931

Ten Thousand Nine Hundred Thirty-One

Basics

Value: 10930 → 10931 → 10932

Parity: odd

Prime: No

Previous Prime: 10909

Next Prime: 10937

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 17 × 643

Divisors: 1, 17, 643, 10931

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010110011

Octal: 25263

Duodecimal: 63AB

Hexadecimal: 2ab3

Square: 119486761

Square Root: 104.55142275454696

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

Numbers k such that 33·2^k - 1 is prime. A2240

Weighted count of partitions with odd parts. A5896

Numerators of continued fraction convergents to sqrt(981). A42898

Number of set partitions of {1,2,...,n} such that the element 1 is in an odd-sized block. A224271

Numerators of the partial alternating sums of the reciprocals of the Dedekind ψ function (A001615). A357820

G.f.: A(x) = ∏_n>=1 1/(1 - A007947(n)*xⁿ)^1/n, where A007947(n) is the product of the distinct prime factors of n. A94947

Expansion of ∏_k>=1 (1+x^k)^k / (1-x^k). A262667

Number of unlabeled, connected graphs on n vertices with at least one subgraph isomorphic to a C₄, where C₄ is the cycle graph on four vertices. A243243

Discriminants of imaginary quadratic fields with class number 34 (negated). A351672

a(n) = 2ⁿ - n. A325