ℕ atory
Play Now

Properties of the Number 15432

Fifteen Thousand Four Hundred Thirty-Two

Basics

Value: 15431 → 15432 → 15433

Parity: even

Prime: No

Previous Prime: 15427

Next Prime: 15439

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 3 × 3 × 643

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 643, 1286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11110001001000

Octal: 36110

Duodecimal: 8B20

Hexadecimal: 3c48

Square: 238146624

Square Root: 124.22560122615627

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

Expansion of g.f. 1/(1-4·x*C) where C = (1/2-1/2*(1-4·x)1/2)/x = g.f. for Catalan numbers A000108. A76035
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252369
Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h X 2h X 2h where the walk starts at the center of the box. A337023
Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit. A178475
Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n2-Catalan(k-1)*n)/(n-1) with a(n,0)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k). A67347
G.f.: ∑k>=0 q(k)3 * xk / ∑k>=0 q(k)*xk, where q(n) is A000009(n). A304878
Fibonacci iteration starting with (1, a(n)) leads to a "nine digits anagram". A34587
Maximal number of 15432 patterns in a permutation of 1,2,...,n. A100355
Numbers with 5 distinct digits {1,2,3,4,5} such that all adjacent digits (as well as first and last digits) are coprime. A104972
Riordan array (1/(1-4·x*c(x)),xc(x)), c(x) the g.f. of A000108. A117380