Properties of the Number 13527

Thirteen Thousand Five Hundred Twenty-Seven

Basics

Value: 13526 → 13527 → 13528

Parity: odd

Prime: No

Previous Prime: 13523

Next Prime: 13537

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 167

Divisors: 1, 3, 9, 27, 81, 167, 501, 1503, 4509, 13527

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011010111

Octal: 32327

Duodecimal: 79B3

Hexadecimal: 34d7

Square: 182979729

Square Root: 116.30563184988077

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

Expansion of (1+x+x²) / ((1-x)*(1-x-x²)). A154691

Position of first occurrence of n in A256918. A257120

Expansion of ∏_k>=1 ((1 + x^k)/(1 + x^3·k))^k. A263345

Total sum of block indices of the elements over all partitions of [n]. A346772

Triangle of coefficients of polynomials u(n,x) jointly generated with A210750; see the Formula section. A210749

Numbers k such that k and k+1 are both terms of A365886. A365887

a(n) = prime(n)*(prime(n-1)-1)/2. A14302

Odd binary Niven numbers (A144302) k such that k/wt(k) is also an odd binary Niven number, where wt(k) = A000120(k) is the binary weight of k. A376618

a(0) = 1; a(n) = (11·n² - 9·n + 4)/2 for n>0. A389625

(s(n)+s(n+1))/6, where s()=A006521. A16059