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Properties of the Number 13365

Thirteen Thousand Three Hundred Sixty-Five

Basics

Value: 13364 → 13365 → 13366

Parity: odd

Prime: No

Previous Prime: 13339

Next Prime: 13367

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 5 × 5 × 11

Divisors: 1, 3, 5, 9, 11, 15, 27, 33, 45, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010000110101

Octal: 32065

Duodecimal: 7899

Hexadecimal: 3435

Square: 178623225

Square Root: 115.60709320798617

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

Numbers k such that φ(k) = φ(k+1). A1274
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
T(n,k)=Number of nXk 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A223961
Odd numbers k such that k is a multiple of A005941(k). A364551
One of the three sequences associated with the polynomial x3 - 2. A52101
Number of permutations s of {1,2,...,n} such that |s(i)-i|>2 for each i=1,2,...,n. A75851
T(n,k) = Number of permutations of 1..n+2·k-1 with each element displaced by at least k. A183244
Number of ON cells at n-th stage of three-dimensional version of the cellular automaton A160117 using cubes. A160379
a(n) = 8·n2 + 14·n + 5. A181890
Riordan array (1, x·c(3x)), c(x) the g.f. of A000108. A110518