Properties of the Number -259

Two Hundred Fifty-Nine

Basics

Value: -260 → -259 → -258

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 37

Divisors: 1, 7, 37, 259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100000011

Octal: -403

Duodecimal: -197

Hexadecimal: -103

Square: 67081

Square Root: 16.09347693943108

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

Numerators of the triangle of coefficients T(n,k), read by rows, that satisfy: y^x = ∑_n=0..x R_n(y)*xⁿ for all nonnegative integers x, y, where R_n(y) = ∑_k=0..n T(n,k)*y^k and T(n,k) = a(n,k)/A107046(n,k). A107045

Expansion of 1/(1+7·x*c(x)), c(x) the g.f. of Catalan numbers A000108. A127016

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. -log(1 - f^k-1(x)), where f(x) = log(1+x). A351420

a(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)ⁿ⁺¹*n if n is prime, otherwise = 0, where p = largest prime < n. A2120

Expansion of 1/(1 - x + x⁴). A99530

Sum(μ(i)*φ(j): i+j=n), with μ=A008683 and φ=A000010. A112962

a(n) = -5·a(n-1) + 7·a(n-2) for n > 1 with a(0) = 1 and a(1) = -7. A152239

Expansion of ∏_k>=1 1 / (1 + 3^k-1*x^k). A352762

Coefficients of the A-Rogers-Selberg identity. A104408

Expansion of g.f. x / reversion(x - x² - x³). A217596