Properties of the Number -506

Five Hundred Six

Basics

Value: -507 → -506 → -505

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 × 23

Divisors: 1, 2, 11, 22, 23, 46, 253, 506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111111010

Octal: -772

Duodecimal: -362

Hexadecimal: -1fa

Square: 256036

Square Root: 22.494443758403985

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 theta₄(x^k), where theta₄() is the Jacobi θ function. A320908

Expansion of χ(-x⁴)⁴ * f(-x⁴)² * f(-x)² in powers of·where χ(), f() are Ramanujan θ functions. A279955

Expansion of ∏_k>=1 (1 - x^k)¹⁴. A10821

Self-convolution 6th power equals A106224, which consists entirely of digits {0,1,2,3,4,5} after the initial terms {1,6}. A106225

Expansion of ∏_k>=1 (1 + x^2·k-1)^2·k-1/(1 + x^2·k)^2·k. A284467

a(2·n) = A000217(n), a(2·n+1) = -2·A000217(n). A131259

a(0) = 1; a(n) = ∑_{k=0..floor((n-1)/2)} (-1)^k * binomial(n-k,k) * a(n-2·k-1). A352865

Triangle M(k,n) read by rows: coefficients of Meixner polynomials. A94368

Triangle T(n,k) with the coefficient [x^k] of the characteristic polynomial of the following n X n matrix: 2 on the main antidiagonal, -1 on the adjacent sub-antidiagonals and 0 otherwise. A136451

Hankel transform of A052702. A160705