Properties of the Number 13854

Thirteen Thousand Eight Hundred Fifty-Four

Basics

Value: 13853 → 13854 → 13855

Parity: even

Prime: No

Previous Prime: 13841

Next Prime: 13859

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2309

Divisors: 1, 2, 3, 6, 2309, 4618, 6927, 13854

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000011110

Octal: 33036

Duodecimal: 8026

Hexadecimal: 361e

Square: 191933316

Square Root: 117.7030161040914

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 k and 5·k, taken together, are pandigital. A115925

Consider the trajectory of n under the iteration of a map which sends·to 3x - σ(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0. A37159

Expansion of ∏_k>=1 ((1 + x^k) * (1 + 2·x^k)). A266819

Number of maximal squarefree words of length n over the alphabet {0,1,2}. A282212

Zeroless numbers n with digits d₁, d₂, ... d_k such that d₁³ + ... + d_k³ is a cube. A254960

Expansion of 1/(1 - ∑_{p prime, k>=1} x^{p^k}/(1 - x^{p^k})). A300672

a(1) = 2; for n > 1, a(n) = a(n-1)*prime(n) if a(n-1)<=prime(n), otherwise a(n) = a(n-1)-prime(n). A382619

Number of conjugacy classes of elements of order n in E₈(C). A45514

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 382", based on the 5-celled von Neumann neighborhood. A271541

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), (0, 0, -1), (0, 1, -1), (0, 1, 0), (1, 0, 0)}. A149833

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