Properties of the Number 11716

Eleven Thousand Seven Hundred Sixteen

Basics

Value: 11715 → 11716 → 11717

Parity: even

Prime: No

Previous Prime: 11701

Next Prime: 11717

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 29 × 101

Divisors: 1, 2, 4, 29, 58, 101, 116, 202, 404, 2929

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10110111000100

Octal: 26704

Duodecimal: 6944

Hexadecimal: 2dc4

Square: 137264656

Square Root: 108.24047302187847

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 with no even part repeated; partitions of n in which no parts are multiples of 4. A1935

Number of partitions of n into relatively prime parts such that multiplicities of parts are also relatively prime. A100953

Expansion of ψ(x) / φ(x) in powers of·where φ(), ψ() are Ramanujan θ functions. A83365

Numbers n such that the decimal expansions of both n and n² have 1 as smallest digit and 7 as largest digit. A257210

Number of partitions p of n not including round(mean(p)) as a part. (This is "Mathematica round"; for round(x) defined as floor(x + 1/2), see A241734.) A241339

Expansion of (1-x)/(1 - x - 4·x²). A52923

Expansion of ∏_k>=1 1/((1 - x^k) * (1 - x^2·k) * (1 - x^3·k)). A327042

a(n) is the number of tetrapods standing on the four edges of an n X n grid, so that no two feet are the same distance apart and no foot is on a corner. Tetrapods with congruent footprints are counted only once. A353447

Number of partitions of 2n in which no parts are multiples of 4. A81055

Number of partitions p of n such that round(mean(p)) is not a part of p; here, round(x) means floor(x + 1/2). A241734