Properties of the Number 13824

Thirteen Thousand Eight Hundred Twenty-Four

Basics

Value: 13823 → 13824 → 13825

Parity: even

Prime: No

Previous Prime: 13807

Next Prime: 13829

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁹ × 3 ³

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000000000

Octal: 33000

Duodecimal: 8000

Hexadecimal: 3600

Square: 191102976

Square Root: 117.57550765359255

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

The cubes: a(n) = n³. A578

Product of the proper divisors of n. A7956

Numbers j such that σ(σ(j)) = k·j for some k. A19278

Perfect powers m^k where m is a positive integer and k >= 3. A76467

Products of superprimorials (A006939). A181818

a(n) = (n!)³. A442

12-almost primes (generalization of semiprimes). A69273

Perfect powers of nonsquarefree numbers k that are not squareful. A386762

Powers of 24: a(n) = 24ⁿ. A9968

Let b(n) equal the product of the exponents in the prime factorization of n. Then a(n) gives the least k such that b(k) = n. A85629