Properties of the Number 13345

Thirteen Thousand Three Hundred Forty-Five

Basics

Value: 13344 → 13345 → 13346

Parity: odd

Prime: No

Previous Prime: 13339

Next Prime: 13367

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 17 × 157

Divisors: 1, 5, 17, 85, 157, 785, 2669, 13345

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000100001

Octal: 32041

Duodecimal: 7881

Hexadecimal: 3421

Square: 178089025

Square Root: 115.52056094046635

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 n such that p(5n) is prime, where p(n) is the number of partitions of n. A114166

T(n,k)=Number of nXk 0..2 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. A202889

T(n,k) = Number of n X k 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, rows lexicographically nondecreasing, and columns lexicographically nonincreasing. A229428

G.f.: exp( ∑_n>=1 A001333(n)² * xⁿ/n ) where A001333(n) = A002203(n)/2, one-half the companion Pell numbers. A204061

Expansion of (1 + x⁴ - x⁵)/((1 + x⁴ - x⁵)² - 4·x⁴). A376728

Pseudoprimes to base 13. A20141

The sequence e when b=[ 1,0,1,1,1,... ]. A42953

Differences of two coprime 4th powers. A147858

a(n) = n*(3·n² - 5·n + 3). A226450

a(n) gives the odd leg of the second of the two Pythagorean triangles with hypotenuse A080109(n) = A002144(n)². This is the larger of the two possible odd legs. A253804