Properties of the Number 13314

Thirteen Thousand Three Hundred Fourteen

Basics

Value: 13313 → 13314 → 13315

Parity: even

Prime: No

Previous Prime: 13313

Next Prime: 13327

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 317

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 317, 634

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 11010000000010

Octal: 32002

Duodecimal: 7856

Hexadecimal: 3402

Square: 177262596

Square Root: 115.38630767989761

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 Bernoulli number B_n has denominator 1806. A272139

Triangle T(n,k) in which n-th row lists the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216349

Triangle T(n,k) in which n-th row lists in increasing order the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216350

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without move-in move-out straight through or left turns. A221800

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A305509

Number of ways to choose a strict composition of each part of a strict integer partition of n. A336142

a(n) = 1·T(n,0) + 2·T(n,1) + ... + (2n+1)*T(n,2n), T given by A027926. A27992

Number of fully gated graphs on n nodes. A142859

Sixth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways. A215836

Number of Dyck paths of semilength n such that all levels with peaks have exactly the same number of peaks. A288109