Properties of the Number 15226

Fifteen Thousand Two Hundred Twenty-Six

Basics

Value: 15225 → 15226 → 15227

Parity: even

Prime: No

Previous Prime: 15217

Next Prime: 15227

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 23 × 331

Divisors: 1, 2, 23, 46, 331, 662, 7613, 15226

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101101111010

Octal: 35572

Duodecimal: 898A

Hexadecimal: 3b7a

Square: 231831076

Square Root: 123.39367893048654

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

Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1. A125

Start with a single triangle; at n-th generation add a triangle at each vertex, allowing triangles to overlap; sequence gives total population of triangles at n-th generation. A61777

Number of integer partitions of n with no part dividing or divisible by all the others. A343342

Numbers k such that numerator(Bernoulli(2·k)/(2·k)) is different from numerator(Bernoulli(2·k)/(2·k*(2·k-1))). A90495

T(n,k) = Number of n X k 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. A283691

Integers k such that all the digits needed to write the consecutive nonnegative integers from 0 to k fill exactly a square (no holes, no overlaps). A158022

a(n)-th prime is the smallest prime containing exactly n 6's. A37064

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁸)). A288343

a(n) = n*(n+1)*(n²+5·n+18)/24. A51744

Third row of Pascal-(1,4,1) array A081579. A81587