Properties of the Number 9932

Nine Thousand Nine Hundred Thirty-Two

Basics

Value: 9931 → 9932 → 9933

Parity: even

Prime: No

Previous Prime: 9931

Next Prime: 9941

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 13 × 191

Divisors: 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011001100

Octal: 23314

Duodecimal: 58B8

Hexadecimal: 26cc

Square: 98644624

Square Root: 99.65942002640794

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 (35·10^k - 11)/3 is prime. A268448

Expansion of ∏_k>=1 (1+x^k)^k*(k+1*(k+2)/6). A258343

T(n,k)=Number of n-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on a kXk board summed over all starting positions. A187857

Number of partitions of n into 7 distinct and relatively prime parts. A339672

Number of partitions of 2n in which all odd parts occur with multiplicity 2. There is no restriction on the even parts. A101277

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j³*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i³*x(i,j), i=1..n+1} nondecreasing. A232787

Number of partitions p of n such that (number of numbers in p of form 3k+1) > (number of numbers in p of form 3k+2). A241739

Number of lines through exactly 5 points of an n X n grid of points. A18812

Total counts of distinct (directed) Hamiltonian cycles for all simple graphs of order n. A124964

The number of complete binary trees with bicolored twigs. A twig is a vertex with one child on the boundary and the other child having no descendants. A228404