Properties of the Number 20068

Twenty Thousand Sixty-Eight

Basics

Value: 20067 → 20068 → 20069

Parity: even

Prime: No

Previous Prime: 20063

Next Prime: 20071

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 29 × 173

Divisors: 1, 2, 4, 29, 58, 116, 173, 346, 692, 5017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111001100100

Octal: 47144

Duodecimal: B744

Hexadecimal: 4e64

Square: 402724624

Square Root: 141.66156853571826

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>=0 1/(1 - x^3·k+1)². A261616

a(n) = a(n - 1) - 2·a(n - 2) + a(n - 3) - 4·a(n - 4) + 2·a(n - 5). A122581

G.f.: ∑_n>=0 (xⁿ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323689

Expansion of η(q³) * η(q³³) / ( η(q)* η(q¹¹)) in powers of q. A128663

Number of partitions of 3n-1 into n nonnegative integers each no more than 6. A1978

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (-1, 0, 1), (0, 1, -1), (1, 0, 0)}. A148561

a(n) = ∑_j=0..n p(n - j, j) where p(n, x) = ∑_k=0..n k! * abs(Stirling1(n, k)) * x^k. A372349

a(n) = floor( γ(n+2/9) / γ(2/9) ). A20068