Properties of the Number 20942

Twenty Thousand Nine Hundred Forty-Two

Basics

Value: 20941 → 20942 → 20943

Parity: even

Prime: No

Previous Prime: 20939

Next Prime: 20947

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 37 × 283

Divisors: 1, 2, 37, 74, 283, 566, 10471, 20942

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000111001110

Octal: 50716

Duodecimal: 10152

Hexadecimal: 51ce

Square: 438567364

Square Root: 144.71351008112546

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 length n+6 0..k arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms. A249883

G.f. A(x) satisfies: -1 = ∏_n>=1 (1 - A(x)ⁿ) * (1 - A(x)ⁿ/x) * (1 - A(x)^n-1*x). A268299

Number of partitions of n with at most two even parts. A96778

Number of partitions of n+8 with largest inscribed rectangle having area <= n. A218629

a(n) = n-th π-based antiderivative of 8. A259169

Number of length n+6 0..2 arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms. A249877

Number of length 7+6 0..n arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms. A249890

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 310", based on the 5-celled von Neumann neighborhood. A271198

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 406", based on the 5-celled von Neumann neighborhood. A271772

Number of strings of numbers x(i=1..n) in 0..5 with sum i³*x(i) equal to n³*5. A184253