Properties of the Number 52783

Fifty-Two Thousand Seven Hundred Eighty-Three

Basics

Value: 52782 → 52783 → 52784

Parity: odd

Prime: Yes

Previous Prime: 52769

Next Prime: 52807

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 52783

Divisors: 1, 52783

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000101111

Octal: 147057

Duodecimal: 26667

Hexadecimal: ce2f

Square: 2786045089

Square Root: 229.74551138161547

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

Odd numbers m such that for all 2^k < m the numbers m + 2^k, m - 2^k, m·2^k + 1, and m·2^k - 1 are composite, with k >= 1. A256163

a(0) = a(1) = 1; for n >= 2, a(n) = a(n-1) + a(n-2) - (n-1) if that number is positive and not already in the sequence, otherwise a(n) = a(n-1) + a(n-2) + (n-1). A117822

Numbers k such that 57·2^k + 1 is prime. A2274

Denominator of next-best approximation to harmonic numbers. a(n) = Denominator of (A055573(n)-1)th convergent of n-th harmonic number, ∑_k=1..n 1/k. A113124

Number of different hook length multisets of partitions of n. A180652

Primes p such that for all 2^k < p the numbers p + 2^k, p - 2^k, p·2^k + 1, and p·2^k - 1 are composite. A256237

Consecutive states of the linear congruential pseudo-random number generator 237·s mod (2¹⁶+1) when started at s=1. A385080

Primes from merging of 5 successive digits in decimal expansion of exp(π). A105010

Expansion of e.g.f. x·log(-1/(-1+x))⁵. A52783