Properties of the Number 38992

Thirty-Eight Thousand Nine Hundred Ninety-Two

Basics

Value: 38991 → 38992 → 38993

Parity: even

Prime: No

Previous Prime: 38977

Next Prime: 38993

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 2437

Divisors: 1, 2, 4, 8, 16, 2437, 4874, 9748, 19496, 38992

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001100001010000

Octal: 114120

Duodecimal: 1A694

Hexadecimal: 9850

Square: 1520376064

Square Root: 197.46392075515973

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

Monotonic ordering of set S generated by these rules: if·and y are in S then x²+y²-xy is in S, and 2 is in S. A192533

First column of A316273. Recurrence similar to series reversion giving Catalan numbers. A239605

Number of solutions to 3 +- 7 +- 13 +- 19 +- ... +- prime(4·n) = 0. A292698

Number of permutations avoiding the consecutive pattern 32415. A202235

Number of permutations avoiding the consecutive pattern 45231. A202233

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 289", based on the 5-celled von Neumann neighborhood. A271127

a(n) = (-1)ⁿ * hypergeom([-n, n/2 + 1, n/2 + 1/2], [1, n + 2], 4). Central terms of A379907. A379823

a(n) = n!³ * ∑_k=0..n Stirling2(2·k,k) * Stirling2(2·n-2·k,n-k) / binomial(n,k)³. A384492

Number of sublattices of index n in generic 5-dimensional lattice. A38992

Number of nX3 zero-sum -1..1 arrays with rows and columns lexicographically nondecreasing. A202028