Properties of the Number 55871

Fifty-Five Thousand Eight Hundred Seventy-One

Basics

Value: 55870 → 55871 → 55872

Parity: odd

Prime: Yes

Previous Prime: 55849

Next Prime: 55889

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 55871

Divisors: 1, 55871

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101000111111

Octal: 155077

Duodecimal: 283BB

Hexadecimal: da3f

Square: 3121568641

Square Root: 236.3704719291308

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

Primes of the form k² + k + 55661, with k >= 0. A116206

Lexicographically largest increasing sequence of primes for which the continued square root map (see A257574) produces π. A257582

Second term p(m) of strong prime sextets: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3). A54814

Primes p such that the order of 2 mod p is less than the square root of p. A333245

Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 2. A50664

Odd primes which can never divide 2^a+2^b+1. A179113

Prime p such that p⁵ + p³ + p - 4 and p⁵ + p³ + p + 4 are primes. A243900

Primes p such that p⁴ + p + 1 and p⁴ - p - 1 are also prime. A236073

a(n) = largest number k that is not the sum of {2 squares, a nonnegative 5th power, and a nonnegative n-th power}. A332665

Square array T(n,k) read by antidiagonals upwards: "Dropping Times" in reduced Collatz sequences. (See "Comments" for definitions and explanation.) A259663