Properties of the Number 55691

Fifty-Five Thousand Six Hundred Ninety-One

Basics

Value: 55690 → 55691 → 55692

Parity: odd

Prime: Yes

Previous Prime: 55681

Next Prime: 55697

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 55691

Divisors: 1, 55691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100110001011

Octal: 154613

Duodecimal: 2828B

Hexadecimal: d98b

Square: 3101487481

Square Root: 235.98940654190392

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

Numbers that are the sum of ten fifth powers in three or more ways. A345635

Numbers that are the sum of ten fifth powers in exactly three ways. A346348

Prime numbers n such that n = p1³ + p2³ + p3³, a sum of cubes of 3 distinct prime numbers. A137365

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

Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime. A137366

Let p_3,2(m) be the m-th prime == 2(mod 3). Then a(n) is the smallest p_3,2(m) such that the interval(p_3,2(m)*n, p_3,2(m+1)*n) contains exactly one prime == 2 (mod 3). A210467

Sixth term of weak prime sextet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1). A54833

Primes of the form p·q+4 where p and q are consecutive primes. A63442

Primes of the form ∑_k=1..n φ(prime(k)). A101302

a(n)=a(n-1)+a(n-2)+n+4, a(0)=0, a(1)=1. A210675