Properties of the Number 56679

Fifty-Six Thousand Six Hundred Seventy-Nine

Basics

Value: 56678 → 56679 → 56680

Parity: odd

Prime: No

Previous Prime: 56671

Next Prime: 56681

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 2699

Divisors: 1, 3, 7, 21, 2699, 8097, 18893, 56679

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110101100111

Octal: 156547

Duodecimal: 28973

Hexadecimal: dd67

Square: 3212509041

Square Root: 238.07351805692292

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

Triangle of coefficients T(n,k) of xⁿ*y^k in g.f. A(x,y) satisfying y = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y·A(x,y) + x^n-1)ⁿ⁺¹. A359670

Numbers k such that σ(φ(k)) = σ(k) where σ is the sum of divisors function A000203 and φ is the Euler totient function A000010. A33631

Column 2 of triangle A359670; a(n) = A359670(n+2,2) for n >= 0. A359715

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ⁺⁵)ⁿ⁺¹ for n >= 0. A360237

Numbers k such that σ(φ(k)) divides σ(k). A190503

Primes p such that 1 + x + ∑_{q prime <= p} x^q is irreducible over GF(2). A56679