Properties of the Number -156

One Hundred Fifty-Six

Basics

Value: -157 → -156 → -155

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 13

Divisors: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10011100

Octal: -234

Duodecimal: -110

Hexadecimal: -9c

Square: 24336

Square Root: 12.489995996796797

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

McKay-Thompson series of class 16B for the Monster group. A29839

Expansion of ∏_m>=1 (1-m·q^m). A22661

Expansion of k(q) = r(q) * r(q²)² in powers of q where r() is the Rogers-Ramanujan continued fraction. A112274

G.f.: Im((i; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A278400

Irregular triangle read by rows of the initial floor(n/2) + 1 coefficients of 1/C(x)ⁿ, where C(x) is the g.f. of the Catalan sequence (A000108). A132460

Convolution inverse of A006171. A288098

G.f.: A(x) = ∑_n=-oo..+oo x^n*(n+1/2) * C(x)ⁿ, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A355341

a(n) = ∑_k=1..n (-1)^k+1 gcd(k,n). A199084

G.f.: ∑_n=-oo..+oo x^n*(n+1/2) * C(x)^2·n-1, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A355345

Expansion of ψ(-x)⁴ in powers of·where ψ() is a Ramanujan θ function. A121613