Properties of the Number 13905

Thirteen Thousand Nine Hundred Five

Basics

Value: 13904 → 13905 → 13906

Parity: odd

Prime: No

Previous Prime: 13903

Next Prime: 13907

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 103

Divisors: 1, 3, 5, 9, 15, 27, 45, 103, 135, 309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11011001010001

Octal: 33121

Duodecimal: 8069

Hexadecimal: 3651

Square: 193349025

Square Root: 117.91946404220128

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

Euler transform of A027656(n-1). A35528

T(n,k) = Hilltop maps: number of n X k binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 n X k array. A218663

Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

Numbers n such that n·8ⁿ - 1 is prime. A242201

Numbers k such that 6·k+1, 6·k+7, 6·k+13, 6·k+19 are consecutive primes. A90839

Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes. A90833

Number of equivalence classes of binary words of length n for the subword 10110. A317669

Numbers k such that iphi(k) = iphi(k+1), where iphi(k) is an infinitary analog to the Euler totient function (A091732). A326403

Number of binary necklaces with n beads and at least four consecutive black beads. A351361

Irregular triangle read by rows: T(n,k) is the number of polyominoes of size k, i.e., connected subsets of k square cells (or vertices), of the n X n flat torus, up to cyclic shifts and reflections of rows and columns; 1 <= k <= n². A385383