Properties of the Number 20965

Twenty Thousand Nine Hundred Sixty-Five

Basics

Value: 20964 → 20965 → 20966

Parity: odd

Prime: No

Previous Prime: 20963

Next Prime: 20981

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 599

Divisors: 1, 5, 7, 35, 599, 2995, 4193, 20965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101000111100101

Octal: 50745

Duodecimal: 10171

Hexadecimal: 51e5

Square: 439531225

Square Root: 144.79295562975432

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

Sum of 10 nonzero 8th powers. A3388

Numbers k such that k, k+1, k+2 and k+3 have the same number of divisors. A6601

Convolution of A000295(n+2) (n>=0) with itself. A34009

Bisection of Lucas triangle A060922: even-indexed members of column sequences of A060922 (not counting leading zeros). A60923

1000-gonal numbers: a(n) = n*(499·n - 498). A195163

Fourth convolution of Lucas numbers A000032(n+1), n >= 0. A60931

Numerators of s in rational solutions of s⁴ + s³ + s² + s + 1 = y² with |s| <= 1. A339325

Number of 8 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally. A188559

Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 3. A240012

G.f. A(x) satisfies: A(x) = x + x² * exp(A(x) + A(-x²)/2 + A(x³)/3 + A(-x⁴)/4 + ...). A345235