Properties of the Number 31961

Thirty-One Thousand Nine Hundred Sixty-One

Basics

Value: 31960 → 31961 → 31962

Parity: odd

Prime: No

Previous Prime: 31957

Next Prime: 31963

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 31 × 1031

Divisors: 1, 31, 1031, 31961

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110011011001

Octal: 76331

Duodecimal: 165B5

Hexadecimal: 7cd9

Square: 1021505521

Square Root: 178.77639665235452

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

a(n) is the decimal concatenation of n and n². A53061

Number of partitions p of n such that the number of distinct parts is not a part and max(p) - min(p) is not a part. A241390

"AFK" (ordered, size, unlabeled) transform of 1,2,3,4,... A32007

Number of permutations p of [n] such that 0p has a nonincreasing up-jump sequence and also has a nonincreasing down-jump sequence. A288910

Schoenheim bound L₁(n,n-4,n-5). A36830

Number of points in Nⁿ of norm <= 2. A55417

a(n) = [xⁿ] ∏_{j=1..n, k=1..n} (1 + x^{k^j}). A369578

Expansion of (x+1)*(x³-x²-x-1)/((1-x)*(x²+2·x-1)*(x²+x+1)). A108985

If n² has an even number of digits, write n after the left half of the digits of n² and before the right half, otherwise if n² has 2t+1 digits, write n after the first t digits of n² and before the last t+1 digits. A274620

Composite n such that both n and its reversal in base 10 are squarefree, none of the prime factors of n are palindromes and the prime factors of the reversal of n are the reversals of those of n. A83526