Properties of the Number 13956

Thirteen Thousand Nine Hundred Fifty-Six

Basics

Value: 13955 → 13956 → 13957

Parity: even

Prime: No

Previous Prime: 13933

Next Prime: 13963

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1163

Divisors: 1, 2, 3, 4, 6, 12, 1163, 2326, 3489, 4652

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010000100

Octal: 33204

Duodecimal: 80B0

Hexadecimal: 3684

Square: 194769936

Square Root: 118.13551540497888

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

Positive integers m such that π(m²) = π(j²) + π(k²) for no 0 < j <= k < m. A262408

Number of Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 5). A212364

Numbers that are the sum of seven fourth powers in five or more ways. A345571

Numbers that are the sum of seven fourth powers in exactly five ways. A345827

Expansion of ∏_m>=1 (1+q^m)^-3. A22598

McKay-Thompson series of class 32a for the Monster group. A107635

(k(n)!-j(n)!)/n, where (k!,j!) is the least pair of distinct factorials for which n divides k!-j!. A204937

The smallest k such that the number of steps in the n Collatz sequences starting at k+i, i=0..n-1, is always prime. A174538

Numbers whose base-7 representation contains exactly four 5's. A43416

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (1, -1, 1), (1, 1, 0), (1, 1, 1)}. A150933