Properties of the Number 21836

Twenty-One Thousand Eight Hundred Thirty-Six

Basics

Value: 21835 → 21836 → 21837

Parity: even

Prime: No

Previous Prime: 21821

Next Prime: 21839

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 53 × 103

Divisors: 1, 2, 4, 53, 103, 106, 206, 212, 412, 5459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010101001100

Octal: 52514

Duodecimal: 10778

Hexadecimal: 554c

Square: 476810896

Square Root: 147.770091696527

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

Maximal number of partitions having the same degree in the partition graph G(n) defined at A241150. A241152

Expansion of ∏_k>0 ((1 - q^3·k)⁴*(1 - q^6·k)²)/((1 - q^k)⁴*(1 - q^2·k)²). A293629

Number of permutations of length n which avoid the patterns 321, 1342, 1423. A116730

a(n) = a(n-1) - 16·a(n-2), a(0)=1, a(1)=4. A133666

Numbers k such that (10^k + 23)/3 is prime. A274986

Number of n X 2 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280118

T(n,k)=Number of nXk 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280124

Decimal expansion of 1/832. A21836