Properties of the Number 10542

Ten Thousand Five Hundred Forty-Two

Basics

Value: 10541 → 10542 → 10543

Parity: even

Prime: No

Previous Prime: 10531

Next Prime: 10559

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 251

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 251, 502

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100101110

Octal: 24456

Duodecimal: 6126

Hexadecimal: 292e

Square: 111133764

Square Root: 102.67424214475605

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

Pentagonal numbers with even index. A49452

Number of anisohedral polyominoes with n cells. A75206

Expansion of ∏_k>=1 1/(1-x^k+3)^k. A263359

Maximum number of (distinct) primes that an n-digit number may shelter (i.e., primes contained among all digital substrings' permutations). A76730

Pentagonal numbers (A000326) whose digit reversal is a semiprime (A001358). A115709

Numbers whose square starts with 4 identical digits. A132391

Number of compositions (ordered partitions) of n into Lucas numbers (beginning with 1) (A000204). A288039

Pentagonal numbers that are abundant. A379264

Positive numbers having the same set of digits in base 7 and base 10. A37440

a(n) = 3·n*(9·n - 1)/2. A268351