Properties of the Number -15504

Fifteen Thousand Five Hundred Four

Basics

Value: -15505 → -15504 → -15503

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 17 × 19

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 19

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11110010010000

Octal: -36220

Duodecimal: -8B80

Hexadecimal: -3c90

Square: 240374016

Square Root: 124.51505933018704

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

Expansion of (1-4·x)^9/2. A2424

Triangle of signed numbers used for the computation of the column sequences of triangle A089504. A89505

Eighth convolution of A115140. A115147

Expansion of ∑_k>0 x^2·k/(1+x^k)⁶. A363614

Expansion of g.f. (1+x)²*(x²-6·x+1)/(x-1)⁴. A136264

Square array read by ascending antidiagonals: T(n,k) = [x^3·k] ( (1 + x)ⁿ⁺³/(1 - x)^n-3 )^k for n, k >= 0. A364519

Expansion of e.g.f. (1 + log(1+x))³. A377396

Expansion of -x*(2·x - 1)*(2·x² - 1)*(x³ + 2·x² - x - 1)/((x - 1)*(x² + x - 1)*(x⁴ - 4·x³ - 4·x² + x + 1)). A122605

A symmetrical triangle of polynomial coefficients that are von Koch like: b=1/4; p(x, n) = If[Mod[n, 4] == 2, (b·x - n/2)*p(x, n - 1), If[ Mod[n, 4] == 3, (x/2 - b·n + 1/2)*p(x, n - 1), If[ Mod[n, 4] == 0, (-b·x - n/2 + b)*p(x, n - 1), (x/2 + b·n)*p(x, n - 1)]]]; q(x,n)=(p(x,n)+xⁿ*(p(1/x,n))/bⁿ. A155688

Binomial coefficients C(n,5). A389