Properties of the Number 13829

Thirteen Thousand Eight Hundred Twenty-Nine

Basics

Value: 13828 → 13829 → 13830

Parity: odd

Prime: Yes

Previous Prime: 13807

Next Prime: 13831

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13829

Divisors: 1, 13829

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000000101

Octal: 33005

Duodecimal: 8005

Hexadecimal: 3605

Square: 191241241

Square Root: 117.5967686630887

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

Next prime after n³. A14220

Numbers that are the sum of nine fourth powers in nine or more ways. A345593

Primes p = prime(k) such that both p+2 and prime(k+6)-2 are prime numbers. A105413

Prime numbers that have a triangular Voronoi cell in the Voronoi diagram of the Ulam prime spiral. A257527

Numbers that are the sum of nine fourth powers in ten or more ways. A345594

Numbers that are the sum of nine fourth powers in exactly ten ways. A345852

a(n) = n³ + 5. A84381

Numbers k such that σ(φ(σ(k))) = φ(σ(φ(k))). A67160

Lesser of twin primes p1 such that p1+(p2²-p1²) and p2+(p2²-p1²) are prime numbers. A174922

a(n) is the smallest prime(m) such that the interval (prime(m)*n, prime(m+1)*n) contains exactly three primes. A187810