Properties of the Number 12804

Twelve Thousand Eight Hundred Four

Basics

Value: 12803 → 12804 → 12805

Parity: even

Prime: No

Previous Prime: 12799

Next Prime: 12809

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 11 × 97

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000000100

Octal: 31004

Duodecimal: 74B0

Hexadecimal: 3204

Square: 163942416

Square Root: 113.15476127852509

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 non-Look-and-Say partitions of n. Number of integer partitions of n such that there is no way to choose a disjoint strict integer partition of each multiplicity. A351293

Number of integer partitions of n containing three parts (a,b,c) (repeats allowed) such that a + b = c. A variation of sum-full partitions. A363225

Values of the difference d for 6 primes in geometric-arithmetic progression with the minimal sequence {7·7^j + j·d}, j = 0 to 5. A209205

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum. A258894

Triangle, read by rows, where the g.f. of row n divided by (1-x)ⁿ yields the g.f. of column n in the triangle A122888, for n>=1. A122890

a(n) = 13·n² + 10·n + 1. A161587

Column of Motzkin triangle. A5325

This is to A139025 as A139025 to A014688, see A139025 for details. A139026

4 times octagonal numbers: a(n) = 4·n*(3·n-2). A153794

Triangle, read by rows n>=1, where row n is the n-th differences of column n of array A158825, where the g.f. of row n of A158825 is the n-th iteration of x·Catalan(x). A158830