Properties of the Number 10992

Ten Thousand Nine Hundred Ninety-Two

Basics

Value: 10991 → 10992 → 10993

Parity: even

Prime: No

Previous Prime: 10987

Next Prime: 10993

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 229

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011110000

Octal: 25360

Duodecimal: 6440

Hexadecimal: 2af0

Square: 120824064

Square Root: 104.84273937664925

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

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1<=k<=m positions can be picked in an m X m square grid such that the picked positions don't have any symmetry. A292152

a(n) = (1/2)*(n³ - 6·n² + 13·n - 6). A158498

∑_i=0..n ∑_j=0..n (i AND j), where AND is the binary logical AND operator. A224924

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^2·k) * (1 + x^3·k). A327045

Numbers k such that k·prime(k) -+ 1 are twin primes. A85637

Number of binary sequences of length n with no subsequence 01110. A118891

Values of n such that n^a-+a are primes, a=5. A155021

Number of ways that a 1 X n rectangular tile T, marked into n unit squares, can be surrounded by one layer of copies of itself laid in the plane grid generated by the units of T. Ways that differ by rotation or reflection are not counted as different. The surrounded tile is the exact surrounded region. A159294

G.f. satisfies A(x) = A(x²) - A(x³)/A(-x²). A385908

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 443", based on the 5-celled von Neumann neighborhood. A272227