Properties of the Number 13257

Thirteen Thousand Two Hundred Fifty-Seven

Basics

Value: 13256 → 13257 → 13258

Parity: odd

Prime: No

Previous Prime: 13249

Next Prime: 13259

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 491

Divisors: 1, 3, 9, 27, 491, 1473, 4419, 13257

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001111001001

Octal: 31711

Duodecimal: 7809

Hexadecimal: 33c9

Square: 175748049

Square Root: 115.13904637437292

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

a(n) = - 6·a(n-1) - 9·a(n-2) - 3·a(n-3) with a(0)=3, a(1)=-6, a(2)=18. A215634

Number of ways to write n as an ordered sum of 10 squares of positive integers. A340947

Number of nodes in row n of the power tree A114622. A114623

Sum of n-th antidiagonal of A082191. A82195

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood. A280835

Numbers generated by recursive procedure a(n) = nozero(a(n-1) * 3), in which the function nozero(x) removes all zeros from x, starting with a(1) = 1. A243845

Denominators of continued fraction convergents to sqrt(683). A42313

Ordered factorizations with one level of parentheses indexed by prime signatures. A050354(A025487). A50355

Trajectory of 80 under the map n-> A006369(n). A223084

Ooguri-Vafa invariants of disk degeneracies for brane I or brane II in the O(K) -> P² geometry. A61635