Properties of the Number -1331

Three Hundred Thirty-One

Basics

Value: -1332 → -1331 → -1330

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 8

Digital Root: 8

Palindrome: Yes

Factorization: 11 ³

Divisors: 1, 11, 121, 1331

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100110011

Octal: -2463

Duodecimal: -92B

Hexadecimal: -533

Square: 1771561

Square Root: 36.4828726939094

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 Product (1 - x^k)⁸ in powers of x. A731

Row sums of a number triangle related to the Pell numbers. A110331

Expansion of φ(-x)² * f(-x)⁶ + 32·x * ψ(-x)² * f(-x⁴)⁶ in powers of·where φ(), ψ(), f() are Ramanujan θ functions. A215601

Dirichlet g.f.: 1 / ζ(s-3). A334659

Expansion of q^-1/3 * (η(q)⁸ + 8 * η(q⁴)⁸) in powers of q². A153728

First differences of A000463. A188652

Triangle T, read by rows, where all columns of T are different and yet all columns of the matrix square T² (A118407) are equal; also equals the matrix inverse of triangle A118400. A118404

Expansion of a level 11 weight 7 multiplicative modular form in powers of q. A138661

a(1) = 1, a(2) = -9; a(n) = -n³ * ∑_{d∣n, d < n} a(d) / d³. A359531

Expansion of q^-1/3 * (η(q)⁸ + 32 * η(q⁴)⁸) in powers of q. A153729