Properties of the Number 13792

Thirteen Thousand Seven Hundred Ninety-Two

Basics

Value: 13791 → 13792 → 13793

Parity: even

Prime: No

Previous Prime: 13789

Next Prime: 13799

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 431

Divisors: 1, 2, 4, 8, 16, 32, 431, 862, 1724, 3448

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111100000

Octal: 32740

Duodecimal: 7B94

Hexadecimal: 35e0

Square: 190219264

Square Root: 117.43934604722558

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295357

Number of 3 X 3 magic squares (with distinct positive entries) having all entries < n. A108576

Expansion of ((∏_n>=1 (1 - x^3·n)/(1 - xⁿ)³) - 1)/3 in powers of x. A277968

Expansion of ∑_k>0 x^4·k/(1-x^k)⁴. A363611

McKay-Thompson series of class 19A for Monster. A58549

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 1. A49966

McKay-Thompson series of class 19A for the Monster group with a(0) = 3. A136569

Number of partitions of (3, n) into a sum of distinct pairs. A268346

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^2·k) * (1 + x^3·k) * (1 + x^4·k) * (1 + x^5·k) / ((1 - x^k) * (1 - x^2·k) * (1 - x^3·k) * (1 - x^4·k) * (1 - x^5·k)). A327050

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-2), where a(0) = 2, a(1) = 3, b(0) = 1, and (a(n)) and (b(n)) are increasing complementary sequences. A296287