Properties of the Number 13288

Thirteen Thousand Two Hundred Eighty-Eight

Basics

Value: 13287 → 13288 → 13289

Parity: even

Prime: No

Previous Prime: 13267

Next Prime: 13291

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 11 × 151

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 151, 302

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001111101000

Octal: 31750

Duodecimal: 7834

Hexadecimal: 33e8

Square: 176570944

Square Root: 115.2735876079165

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 overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined. A15128

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

Expansion of 1 / ∑_n=-oo..oo x^n². A4402

Number of permutations p on the set [n] with the properties that abs(p(i)-i) <= 3 for all i, p(1) <= 3, and p(4) >= 2. A188491

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 4, n >= 2. A214022

Sum over each antidiagonal of A248017. A248027

Binomial transform of floor(n/2)!. A81124

a(n) = (4·n³ + 6·n² + 8·n + 6)/3. A100504

a(n) = 2662·n - 22. A157609

Expansion of 2·x² *(4 +7·x +5·x² -x³ -4·x⁴ +6·x⁶ +4·x⁷ -x⁸ -2·x⁹) / ((1+x)² *(1+x+x²)² *(1-x)⁴) . A187062