Properties of the Number 27992

Twenty-Seven Thousand Nine Hundred Ninety-Two

Basics

Value: 27991 → 27992 → 27993

Parity: even

Prime: No

Previous Prime: 27983

Next Prime: 27997

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 3499

Divisors: 1, 2, 4, 8, 3499, 6998, 13996, 27992

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110101011000

Octal: 66530

Duodecimal: 14248

Hexadecimal: 6d58

Square: 783552064

Square Root: 167.30809902691502

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

a(n) = n³ + (n+1)*(n+2). A270109

Number of n X 3 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, rows lexicographically nondecreasing, and columns lexicographically nonincreasing. A229423

Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+3), n>=0. A67981

G.f. satisfies: A(x) = 1 + x*∑_n>=0 (A(x)⁴ - 1)ⁿ. A192947

a(n) = 1·T(n,0) + 2·T(n,1) + ... + (2n+1)*T(n,2n), T given by A027926. A27992

Number of ON (black) cells in the n-th iteration of the "Rule 78" elementary cellular automaton starting with a single ON (black) cell. A266977