Properties of the Number 12645

Twelve Thousand Six Hundred Forty-Five

Basics

Value: 12644 → 12645 → 12646

Parity: odd

Prime: No

Previous Prime: 12641

Next Prime: 12647

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 281

Divisors: 1, 3, 5, 9, 15, 45, 281, 843, 1405, 2529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101100101

Octal: 30545

Duodecimal: 7399

Hexadecimal: 3165

Square: 159896025

Square Root: 112.44998888394787

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

Regular triangle read rows: T(n,k) = number of non-isomorphic multiset partitions of size n and length k. A317533

The convolution matrix of the double factorial of odd numbers (A001147). A35342

a(n) is the (n+1)st (n+2)-gonal number. A64808

Triangle of coefficients of a version of the Hermite polynomials defined by P(x, n) = x·P(x, n - 1) - n·P(x, n - 2). A137286

Coefficient triangle of the denominators of the (n-th convergents to) the continued fraction 1/(w+2/(w+3/(w+4/... . Conjectured to equal unsigned version of A137286. A180048

E.g.f. x*(c(x/2)-1)/(1-2·x), where c(x) = g.f. for Catalan numbers A000108. A35101

Triangle read by rows: T(n,k) is the number of linear chord diagrams on 2n vertices with one marked chord such that exactly k of the remaining n-1 chords are contained within the marked chord. A336599

a(n) = 100·n² - 151·n + 57. A157626

The number of walks from (0,0,0,0) to (n,n,n,n) with steps that increment one to four coordinates and having the property that no two consecutive steps are orthogonal. A171563

G.f. A(x) satisfies: A(x) = 1 / (1 - x - x² * A(4·x)). A348880