Properties of the Number -1155

One Hundred Fifty-Five

Basics

Value: -1156 → -1155 → -1154

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 11

Divisors: 1, 3, 5, 7, 11, 15, 21, 33, 35, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10010000011

Octal: -2203

Duodecimal: -803

Hexadecimal: -483

Square: 1334025

Square Root: 33.98529093593286

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 ∏_k>=1 (1 - k·x^k)^k. A266964

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the Fibonacci self-fusion matrix (A202453). A202605

Polylogarithm li(-n,-1/4) multiplied by (5ⁿ⁺¹)/4. A213127

G.f. satisfies: A(x) = 1/(1 + x·A(x⁸)) and also the continued fraction: 1 + x·A(x⁹) = [1; 1/x, 1/x⁸, 1/x⁶⁴, 1/x⁵¹², ..., 1/x^{8^(n-1}), ...]. A101918

Triangle T(n, k, m) = t(n,m)/( t(k,m) * t(n-k,m) ) with T(n, 0, m) = T(n, n, m) = 1, where t(n, m) = ∏_j=1..n ∏_i=1..j-1 ( 1 - (m+1)*(i+1) ) and m = 3, read by rows. A156692

Expansion of (ψ(x²) / ψ(x))³ in powers of·where ψ() is a Ramanujan θ function. A187053

Expansion of exp( ∑_n>=1 -σ(6·n)*xⁿ/n ) in powers of x. A283164

Expansion of ∏_k>=0 (1-x^3·k+2)^3·k+2. A285212

G.f.: A(x) = ∏_n>=1 [ (1-x)³*(1 + 3x + 6x² +...+ n(n+1)/2·x^n-1) ]. A129356

a(n) = (-1)ⁿ*n*(n-2). A131386