Properties of the Number 53881

Fifty-Three Thousand Eight Hundred Eighty-One

Basics

Value: 53880 → 53881 → 53882

Parity: odd

Prime: Yes

Previous Prime: 53861

Next Prime: 53887

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 53881

Divisors: 1, 53881

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001001111001

Octal: 151171

Duodecimal: 27221

Hexadecimal: d279

Square: 2903162161

Square Root: 232.12281232140884

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

Pseudo-squares: a(n) = the least nonsquare positive integer which is 1 mod 8 and is a (nonzero) quadratic residue modulo the first n odd primes. A2189

Smallest prime p of form p = 8k+1 such that first n primes (p₁=2, ..., p_n) are quadratic residues mod p. A2224

Numbers whose least quadratic nonresidue (A020649) is 23. A25028

Base-6 pandigital primes: primes having at least one of each digit 0,1,2,3,4,5 when written in base 6. A175278

Primes at which occur records of A205531 and A205535. A205532

Odd numbers k for which 23 is the smallest positive i with Jacobi symbol J(i,k) ≠ 1. A112079

Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,6,2). A78963

Smallest prime p == 1 mod 8 (A007519) and p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2). A96637

Odd primes which set records for smallest absolute value of a quadratic nonresidue. A102295

Smallest nonsquare congruent to a square (mod k²) for all k = 1..n. A260709