Properties of the Number 20867

Twenty Thousand Eight Hundred Sixty-Seven

Basics

Value: 20866 → 20867 → 20868

Parity: odd

Prime: No

Previous Prime: 20857

Next Prime: 20873

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 11 × 271

Divisors: 1, 7, 11, 77, 271, 1897, 2981, 20867

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000110000011

Octal: 50603

Duodecimal: 100AB

Hexadecimal: 5183

Square: 435431689

Square Root: 144.45414497341363

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

Relative of Hofstadter Q-sequence: a(n) = max(0, n+20830) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283887

Expansion of 1/(1 + x*∏_k>=1 1/(1 - x^k)). A318581

Sum of the first n Sophie Germain primes. A66819

Solution of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-1) + 3, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294871

Number of partitions of n with up to five distinct kinds of 1. A320692

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood. A272558

a(n) is the number of permutations p of {1, 2, ..., n} such that for any k in 1..n, k and p(k) share a common 1-bit. A352857

Number of ways to tile a hexagonal strip made up of n equilateral triangles, using diamonds and trapezoids. A374391

Number of forests with no isolated vertices in Moebius ladder M_n. A20867