Properties of the Number 54959

Fifty-Four Thousand Nine Hundred Fifty-Nine

Basics

Value: 54958 → 54959 → 54960

Parity: odd

Prime: Yes

Previous Prime: 54949

Next Prime: 54973

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 54959

Divisors: 1, 54959

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011010101111

Octal: 153257

Duodecimal: 2797B

Hexadecimal: d6af

Square: 3020491681

Square Root: 234.43335940091802

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 having only {4, 5, 9} as digits. A385793

Primes of the form 8·k-1 such that 4·k-1, 16·k-1 and 32·k-1 are also primes. A101796

Primes of the form 8·k-1 such that 4·k-1 and 16·k-1 are also primes. A101792

Primes of the form abs(1/(36)(n⁶ - 126n⁵ + 6217n⁴ - 153066n³ + 1987786n² - 13055316n + 34747236)) in order of increasing nonnegative n. A272555

Primes p such that 2·p+1 and ((2·p+1)² + 1)/2 = p² + (p+1)² are primes. A98717

a(n) = (n⁶ - 126·n⁵ + 6217·n⁴ - 153066·n³ + 1987786·n² - 13055316·n + 34747236)/36. A121888

Primes p such that p⁷ - 1 has 8 divisors. A341669

Triangle read by rows: T(n, k) = ∑_i=0..k-2 (-1)ⁱ⁺² * (k-i-1)ⁿ * binomial(k,i). A366159

Primes having only {4, 5, 8, 9} as digits. A386192

Number of permutations of length n which avoid the patterns 1342, 2314, 4213. A116741