Properties of the Number -508

Five Hundred Eight

Basics

Value: -509 → -508 → -507

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 127

Divisors: 1, 2, 4, 127, 254, 508

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111111100

Octal: -774

Duodecimal: -364

Hexadecimal: -1fc

Square: 258064

Square Root: 22.538855339169288

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

a(n) = -2·n² + 12·n - 14. A147973

Alternating sum σ(1)-σ(2)+σ(3)-σ(4)+...+((-1)ⁿ⁺¹)*σ(n). A68762

Deficiency computed for conjugated prime factorization: a(n) = A033879(A122111(n)). A323174

Expansion of r(q²) / r(q)² in powers of q where r() is the Rogers-Ramanujan continued fraction. A285348

a(n) = (-1)*a(n-1) + 3·a(n-2) with a(1)=-1 and a(2)=1. A140167

G.f.: ∑_n>=0 xⁿ * (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹. A324300

G.f.: ∑_n>=0 xⁿ * (1 - xⁿ⁺¹)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323695

a(n) = A033879(A225546(n)). A331734

a(n) = a(n-2) - (a(n-1) - a(n-2)) if (n mod 2) = 0, otherwise a(n) = a(n-1) - (a(n-3) - a(n-4)), with a(0) = 0, a(1) = 1, a(2) = -1, a(3) = 2. A135690

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of A203949. A203950