Properties of the Number 12822

Twelve Thousand Eight Hundred Twenty-Two

Basics

Value: 12821 → 12822 → 12823

Parity: even

Prime: No

Previous Prime: 12821

Next Prime: 12823

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 2137

Divisors: 1, 2, 3, 6, 2137, 4274, 6411, 12822

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000010110

Octal: 31026

Duodecimal: 7506

Hexadecimal: 3216

Square: 164403684

Square Root: 113.23427043081966

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

Number of column-convex polyominoes with perimeter 2n+2. A5435

Number of grains of sand required to be added to one cell at the origin in an initially empty and infinite 3D cubic grid for the 3D sandpile model such that the distance from the origin of the furthest nonempty cell along the axes is n. A351783

Expansion of ψ(x³)³ / (ψ(x)² * ψ(x²)) in powers of·where ψ() is a Ramanujan θ function. A262157

a(n) = 1 + ∑_{d∣n, d > 1} d²*a(n/d). A307607

Number of n-leaf binary trees that do not contain (()((()())((()())()))) as a subtree. A159771

Numbers that are divisible by exactly 3 primes (counted with multiplicity) and sandwiched between primes. A171179

Numbers k such that (k, φ(k), σ(k)) lies on a sphere with integral radius centered at the origin, i.e., k² + φ(k)² + σ(k)² is a square. A66785

Admirable numbers in the middle of twin primes. A135502

Number of (n+1) X (n+1) -7..7 symmetric matrices with every 2 X 2 subblock having sum zero and three distinct values. A211442

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood. A272293