Properties of the Number 21867

Twenty-One Thousand Eight Hundred Sixty-Seven

Basics

Value: 21866 → 21867 → 21868

Parity: odd

Prime: No

Previous Prime: 21863

Next Prime: 21871

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 37 × 197

Divisors: 1, 3, 37, 111, 197, 591, 7289, 21867

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010101101011

Octal: 52553

Duodecimal: 107A3

Hexadecimal: 556b

Square: 478165689

Square Root: 147.87494716820697

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

Numbers k such that sopfr(k + sopfr(k)) = sopfr(k) + sopfr(sopfr(k)), where sopfr = A001414. A376851

a(n) = 16·n² - n. A157446

Number of triples (w,x,y) with all terms in {0,...,n} and w <= floor((x+y)/3). A212973

Larger terms of the pairs (a < b) in the sequence {a,b}-> {Max[{a,b}]-Min[{a,b}],k·Min[{a,b}]} with k=3 and the first pair {a=1,b=2}. See A075256. A75258

a(n) = 26·n² + 1. A158549

G.f. A(x) satisfies: 1 = A(x) - x/(A(x) - 2³*x/(A(x) - 3³*x/(A(x) - 4³*x/(A(x) - 5³*x/(A(x) - 6³*x/(A(x) - ...)))))), a continued fraction relation. A338633

a(n) = 841·n + 1. A158404

a(n) = 1369·n² - 37. A158743

Value of concatenation of all suffixes of binary representation of n. A241426

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 813", based on the 5-celled von Neumann neighborhood. A273640