Properties of the Number 13424

Thirteen Thousand Four Hundred Twenty-Four

Basics

Value: 13423 → 13424 → 13425

Parity: even

Prime: No

Previous Prime: 13421

Next Prime: 13441

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 839

Divisors: 1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001110000

Octal: 32160

Duodecimal: 7928

Hexadecimal: 3470

Square: 180203776

Square Root: 115.8619868636819

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

Number of integer partitions of n whose length and maximum both divide n. A326843

29-gonal numbers: a(n) = n*(27·n-25)/2. A255187

Expansion of ∏_k>=1 1/(1 - x^k)^p(k-p(k-1)), where p(k) = number of partitions of k (A000041). A304967

a(n) = 839·n. A135639

a(n) is the numerator of the sum of the reciprocals of the first n squarefree numbers. A354417

a(n) = 10000·log₁₀(n) rounded down. A4228

Triangle read by rows: the numbers B₂(n,k) from the Harju and Nowotka paper. A102416

Consecutive states of the linear congruential pseudo-random number generator (1021·s + 25673) mod 121500 when started at s=1. A385341

a(n) = 10000·log₁₀(n) rounded to the nearest integer. A4229

Numerator of b(n) = ∑_k'<=n 1/k', where k' denotes the squarefree numbers. A72980