Properties of the Number 53089

Fifty-Three Thousand Eighty-Nine

Basics

Value: 53088 → 53089 → 53090

Parity: odd

Prime: Yes

Previous Prime: 53087

Next Prime: 53093

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 53089

Divisors: 1, 53089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111101100001

Octal: 147541

Duodecimal: 26881

Hexadecimal: cf61

Square: 2818441921

Square Root: 230.41050323281706

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 whose least quadratic nonresidue (A020649) is 19. A25027

Number of partitions of 3·n³ into parts that are at most n. A258303

Number of partitions of 7n into exactly 4 parts. A256329

Let (p1,p2), (p3,p4) be pairs of twin primes with p1·p2=p3+p4-1; sequence gives values of p2. A47977

Odd numbers n for which 19 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1. A112078

Primes with 31 as smallest positive primitive root. A61735

A proximate-prime polynomial sequence generated by 2·n² - 2·n + 53089. A155557

Number of partitions of 12·n into parts < 5. A191593

Primes p such that the maximal length of a Buchi sequence in Z/pZ is less than the value of A124882 for that prime. A261404

Primes p such that the maximal length of a nontrivial N(p)-Hensley sequence mod p is less than the value of A124882 for that prime, where N(p) is the least positive quadratic non-residue mod p. A261405