Properties of the Number 44293

Forty-Four Thousand Two Hundred Ninety-Three

Basics

Value: 44292 → 44293 → 44294

Parity: odd

Prime: Yes

Previous Prime: 44281

Next Prime: 44351

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 44293

Divisors: 1, 44293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010110100000101

Octal: 126405

Duodecimal: 21771

Hexadecimal: ad05

Square: 1961869849

Square Root: 210.459022139703

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

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8·k))/k) = m with m = 15. A109569

a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist). A168253

Primes for which the six closest primes are smaller. A75038

Primes for which the seven closest primes are smaller. A75043

Primes for which the eight closest primes are smaller. A75050

Primes for which the five closest primes are smaller. A75037

Expansion of ∏_k>=1 1 / (1 - x^k)^{8^(k-1}). A343353

Smallest prime p such that there is a gap of exactly 2·prime(n) between p and the next prime. A80082

Primes p such that (r-p)/log(p) > 4, where r is the next prime after p. A82889