Properties of the Number 13455

Thirteen Thousand Four Hundred Fifty-Five

Basics

Value: 13454 → 13455 → 13456

Parity: odd

Prime: No

Previous Prime: 13451

Next Prime: 13457

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 23

Divisors: 1, 3, 5, 9, 13, 15, 23, 39, 45, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010010001111

Octal: 32217

Duodecimal: 7953

Hexadecimal: 348f

Square: 181037025

Square Root: 115.99568957508723

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

3 times octagonal numbers: a(n) = 3·n*(3·n-2). A152751

a(n) = ChebyshevT(3, n). A144129

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

a(n) = 16n² + 32n + 15. A141759

-9-Knödel numbers. A225513

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 filled by rows with each element moved a city block distance of 0 or 2, and rows and columns in increasing lexicographic order. A263602

Expansion of ∑_n>=0 xⁿ * ∑_k=0..n C(n,k)² * x^4·k. A246884

Chebyshev T-polynomials T(n,15) with Diophantine property. A68203

a(n) = floor(C(n+8,8)/C(n+2,2)). A84631

a(n) = 14·n² + 1. A158482