Properties of the Number 20859

Twenty Thousand Eight Hundred Fifty-Nine

Basics

Value: 20858 → 20859 → 20860

Parity: odd

Prime: No

Previous Prime: 20857

Next Prime: 20873

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 409

Divisors: 1, 3, 17, 51, 409, 1227, 6953, 20859

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000101111011

Octal: 50573

Duodecimal: 100A3

Hexadecimal: 517b

Square: 435097881

Square Root: 144.42645187083977

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

T(n,k)=Number of nXk 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by 0 1 to the left or above. A203975

a(n) = (6 + 10·n + 5·n² + n³)/2. A164845

Row sums of A117683. A117684

Number of n X 2 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by 0 1 to the left or above. A203969

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 241", based on the 5-celled von Neumann neighborhood. A270990

Multiplicity of highest weight (or singular) vectors associated with character chi₇ of Monster module. A34395

E.g.f.: exp((exp(p·x)-p-1)/p+exp(x)) for p=8. A36078

Decimal expansion of log₂(6). A20859

Triangle, read by rows, that transforms diagonals in the array A158825 of coefficients of successive iterations of x·C(x) where C(x) is the Catalan function (A000108). A158835