Properties of the Number -2555

Five Hundred Fifty-Five

Basics

Value: -2556 → -2555 → -2554

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 73

Divisors: 1, 5, 7, 35, 73, 365, 511, 2555

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100111111011

Octal: -4773

Duodecimal: -158B

Hexadecimal: -9fb

Square: 6528025

Square Root: 50.547007824400445

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

Numerators of cosecant numbers -2*(2^{2·n - 1} - 1)*Bernoulli(2·n); also of Bernoulli(2·n, 1/2) and Bernoulli(2·n, 1/4). A1896

Numerator of Bernoulli(n, 1/2). A157779

G.f. satisfies: A(x) = 1/(1 + x·A(x⁷)) and also the continued fraction: 1 + x·A(x⁸) = [1; 1/x, 1/x⁷, 1/x⁴⁹, 1/x³⁴³, ..., 1/x^{7^(n-1}), ...]. A101917

Numerator of Bernoulli(n, 1/4). A157817

a(2n)=A001896(n). a(2n+1)=(-1)ⁿ*A110501(n+1). A225825

Row sums of number triangle related to the Jacobsthal numbers. A110325

Expansion of 8 * η(q)⁷ / η(q⁷) + 49 * (η(q) * η(q⁷))³ in powers of q. A138809

T(n, k) = numerator([x^k] b_n(x)), where b_n(x) = ∑_k=0..n binomial(n,k)* Bernoulli(k, 1/2)*x^n-k. Triangle read by rows, for n >= 0 and 0 <= k <= n. A335947

T(n, k) = numerator([x^k] b(n, x)), where b(n, x) = 2ⁿ*∑_k=0..n binomial(n, k) * Bernoulli(k, 1/2) * x^n-k. Triangle read by rows, for 0 <= k <= n. A336517

E.g.f. A(x) satisfies A(A(A(A(A(x))))) = x·exp(5·x). A372745