Properties of the Number 13877

Thirteen Thousand Eight Hundred Seventy-Seven

Basics

Value: 13876 → 13877 → 13878

Parity: odd

Prime: Yes

Previous Prime: 13873

Next Prime: 13879

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 13877

Divisors: 1, 13877

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11011000110101

Octal: 33065

Duodecimal: 8045

Hexadecimal: 3635

Square: 192571129

Square Root: 117.80067911519016

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 compositions of n where each pair of adjacent parts is relatively prime. A167606

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3. A146348

Number of integer partitions of n that are empty, have smallest part not dividing all the others, or greatest part not divisible by all the others. A343346

Prime numbers p such that x² + x + p produces primes for x = 0..2 but not x = 3. A210361

Expansion of 1 / ∏_n>=0 (1-q⁵ⁿ⁺¹)(1-q⁵ⁿ⁺²)(1-q⁵ⁿ⁺³). A107234

Triangle read by rows, where row n starts with n-th prime, followed by n primes in arithmetic progression; T(0,0) = 1 by convention. A211890

Primes p for which there are exactly as many primes in the range [p², p·nextprime(p)] as there are in the range [p·nextprime(p), nextprime(p)²], where nextprime(p) gives the next prime after prime p. A256472

Primes congruent to 19 mod 41. A142216

Odd primes p for which there are exactly as many primes in the range [prevprime(p)², prevprime(p)*p] as there are in the range [prevprime(p)*p, p²], where prevprime(p) gives the previous prime before prime p. A256473

Primes equal to a centered pentagonal number plus 1. A285810