Properties of the Number 15672

Fifteen Thousand Six Hundred Seventy-Two

Basics

Value: 15671 → 15672 → 15673

Parity: even

Prime: No

Previous Prime: 15671

Next Prime: 15679

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 653

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 653, 1306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11110100111000

Octal: 36470

Duodecimal: 90A0

Hexadecimal: 3d38

Square: 245611584

Square Root: 125.1878588362306

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 integer partitions of n such that the least part plus the greatest part is odd. A390092

Triangle T, read by rows, equal to the matrix square of triangle A113350, where T transforms column k of T into column k+1 of T. A113355

Triangle read by rows where T(n,k) is the number of patterns of length n with k runs. A335461

Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=2, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the four-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees). A79220

Triangle read by rows where T(n,k) is the number of length-n sequences covering an initial interval of positive integers with k maximal anti-runs. A337506

Expansion of ψ(-x³) / f(-x) in powers of·where ψ(), f() are Ramanujan θ functions. A271593

Number of compositions of n into 4 parts such that no two adjacent parts are equal. A106353

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood. A271154

Number of length-n sequences covering an initial interval of positive integers with exactly two maximal anti-runs, or with one pair of adjacent equal parts. A337507

Expansion of e.g.f. theta₃^13/2. A15672