Properties of the Number 13542

Thirteen Thousand Five Hundred Forty-Two

Basics

Value: 13541 → 13542 → 13543

Parity: even

Prime: No

Previous Prime: 13537

Next Prime: 13553

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 37 × 61

Divisors: 1, 2, 3, 6, 37, 61, 74, 111, 122, 183

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011100110

Octal: 32346

Duodecimal: 7A06

Hexadecimal: 34e6

Square: 183385764

Square Root: 116.37009925234231

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

Triangle of q-binomial coefficients for q=-11. A15124

a(n) is the number whose binary representation is the concatenation of the divisors of n written in base 2. A182622

Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit. A178475

Gaussian binomial coefficient [ n,2 ] for q = -11. A15262

Matrix cube of triangle A105535 and, in this flattened form as read by rows, also equals diagonal 2 of A105535. A105539

a(n) = sigma₂(n)*sigma₃(n)/σ(n). A320917

Number of solutions to Snake Number Problem for snakes with n-periodic instructions in an infinite square grid (see Comments). A352388

Number of permutations of length n avoiding the permutations 13452, 13542, 14253, 14352, 14532, 15243, 15342, 15432, 24153, and 25143. A366706

Positive numbers k such that k and 2·k are anagrams in base 6 (written in base 6). A23064

Begin with n and place (n-1) on the least significant side, place (n-2) on the most significant side and so on until a 1 is placed. A89369