Properties of the Number 13884

Thirteen Thousand Eight Hundred Eighty-Four

Basics

Value: 13883 → 13884 → 13885

Parity: even

Prime: No

Previous Prime: 13883

Next Prime: 13901

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 13 × 89

Divisors: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000111100

Octal: 33074

Duodecimal: 8050

Hexadecimal: 363c

Square: 192765456

Square Root: 117.83038657324349

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

Number of ways to place 2 nonattacking wazirs on an n X n board. A172225

Shifts left under OR-convolution with itself. A7460

The smallest position with nim-value n in subtract-a-square game. A297963

Number of meaningful differential operations of the n-th order on the space R²⁺ⁿ. A127935

Number of partitions of n with difference 3 between the number of odd parts and the number of even parts, both counted without multiplicity. A242694

Expansion of ∏_k>=1 (1 + σ(k)*x^k), where σ(k) is the sum of the divisors of k (A000203). A316962

a(n) = 6·a(n-1) - 9·a(n-2) + 2·a(n-3) for n>3, a(1)=0, a(2)=-1, a(3)=0. A120665

Number of zig-zag paths from top to bottom of a rectangle of width 8 with n rows. A153340

Up-down permutations on [n] whose peaks have k rises. A194354

a(n) is the total surface area of a hollow cubic block (defined as a block with a shell thickness of 1 cube) where n is the edge length of the removed volume. A309842