Properties of the Number 13324

Thirteen Thousand Three Hundred Twenty-Four

Basics

Value: 13323 → 13324 → 13325

Parity: even

Prime: No

Previous Prime: 13313

Next Prime: 13327

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 3331

Divisors: 1, 2, 4, 3331, 6662, 13324

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000001100

Octal: 32014

Duodecimal: 7864

Hexadecimal: 340c

Square: 177528976

Square Root: 115.4296322440646

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

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no two neighbors equal. A199704

Number of compositions of n whose run-lengths are not unimodal. A332727

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal. A233691

a(n) is the smallest number whose English name has the letter "f" in the n-th position, or -1 if no such number exists. A164794

a(n) is the smallest number whose English name has the letter "r" in the n-th position, or -1 if no such number exists. A164796

a(n) is the smallest number whose English name has the letter "u" in the n-th position, or -1 if no such number exists. A164797

T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal. A187705

Number of quadrilaterals in the graph formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A332607

Number of partitions into non-integral powers. A148