Properties of the Number 54319

Fifty-Four Thousand Three Hundred Nineteen

Basics

Value: 54318 → 54319 → 54320

Parity: odd

Prime: Yes

Previous Prime: 54311

Next Prime: 54323

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 54319

Divisors: 1, 54319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010000101111

Octal: 152057

Duodecimal: 27527

Hexadecimal: d42f

Square: 2950553761

Square Root: 233.06436879111317

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

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and Hilbert 3-class field tower of exact length 3, except for the cases mentioned in the COMMENTS. A242878

Primes p such that p⁴-p³+1 and p⁴-p³-1 are also primes. A238136

Expansion of ∑_k>=2 x^Fibonacci(k)/(1 - x^Fibonacci(k)) / ∏_k>=2 (1 - x^Fibonacci(k)). A281689

E.g.f. A(x) satisfies: A(x) = exp(-x) * A(x²)*A(x³)*A(x⁴)* ... *A(x^k)* ... A307660

Primes p such that p, x+y, x-y, p-x·y and p+x·y are prime, where y = p mod 5 and x = (p-y)/5. A342771

Primes of the form H(m,k) = F(k+1)*F(m-k+2) - F(k)*F(m-k+1), where F(m) is the m-th Fibonacci number and m >= 0, 0 <= k <= m. A360932

Duplicate of A006061. A54319