Properties of the Number 45439

Forty-Five Thousand Four Hundred Thirty-Nine

Basics

Value: 45438 → 45439 → 45440

Parity: odd

Prime: Yes

Previous Prime: 45433

Next Prime: 45481

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 45439

Divisors: 1, 45439

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000101111111

Octal: 130577

Duodecimal: 22367

Hexadecimal: b17f

Square: 2064702721

Square Root: 213.1642559154794

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(n) is the smallest prime q such that (r-q)/(q-p) = n, where p<q<r are consecutive primes (or 0 if no such prime exists). A179210

Primes p such that q-p = 42, where q is the next prime after p. A134120

Least prime q such that (q-p)/(r-q), where p<q<r are three consecutive primes, produces a new ratio <= 1, arranged by Farey fractions A038566/A038567. A279066

Primes in which odd positioned digits are composite and even positioned digits are primes. The least significant digit is the taken to be the first digit. A83821

Records in A179210. A278574

Smallest prime(k) such that 2ⁿ divides the product of composite numbers between prime(k) and prime(k+1) but 2ⁿ⁺¹ does not. A77216

prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8·k))/k) = m with m = 11. A109565

Good examples of Hall's conjecture: integers·such that 0 < |x³ - y²| < sqrt(x) for some integer y. A78933

Initial members of prime triples p < q < r such that r-q = n*(q-p). A181994

Primes congruent to {0, 4, 5, 6} mod 7. A45439