Properties of the Number -113643

One Hundred Thirteen Thousand Six Hundred Forty-Three

Basics

Value: -113644 → -113643 → -113642

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 23 × 61

Divisors: 1, 3, 9, 23, 27, 61, 69, 81, 183, 207

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11011101111101011

Octal: -335753

Duodecimal: -55923

Hexadecimal: -1bbeb

Square: 12914731449

Square Root: 337.1097744059048

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

Ramanujan's τ function (or Ramanujan numbers, or τ numbers). A594

The odd bisection of A000594. A99059

Ramanujan function τ(p) as p runs through the prime powers: a(n) = A000594(A000961(n)). A278577

a(n) = coefficient of xⁿ in the expansion of ∏_k>=1 (1-x^k)^3·n. A262539

Bisection of A262539. A262540

Triangle read by rows: T(n,k) = T(n-k,k-1) with T(0,0) = 1 and T(n,0) = -1/n * ∑_{k=1..A003056(n)} (-1)^k * (2·k+1) * (n+1-A060544(k+1)) * T(n,k). A292781

Numerators of the sums of reciprocals of the Collatz (3x+1) sequence beginning with n and stopping at 1. A225761

Maximal coefficient of (1 + x) * (1 + x³) * (1 + x⁶) * ... * (1 + x^n*(n+1/2)). A359348