Properties of the Number 45751

Forty-Five Thousand Seven Hundred Fifty-One

Basics

Value: 45750 → 45751 → 45752

Parity: odd

Prime: Yes

Previous Prime: 45737

Next Prime: 45757

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 45751

Divisors: 1, 45751

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010110111

Octal: 131267

Duodecimal: 22587

Hexadecimal: b2b7

Square: 2093154001

Square Root: 213.89483397221167

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664]. A78858

Number of vertices in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n. A359690

Number of ordered rooted trees with n edges such that the rightmost leaf of each subtree is at even level. Equivalently, number of Dyck paths of semilength n with no return descents of odd length. A33297

Expansion of (-1+3·x+x²-x³)/((x²+4·x+1)*(x²-2·x-1)). A111640

Numerators of lower primes-only best approximates (POBAs) to π; see Comments. A265808

Numerators of primes-only best approximates (POBAs) to π; see Comments. A265812

Primes of the form p + (p² - 1)/8, where p is also prime. A165352

Primes p such that x⁵ = 2 has a solution mod p, but x^5² = 2 has no solution mod p. A70182

Primes p such that A008472(p-1) = A008472(p+1) and is a prime. A190722

Primes p such that A008472(p-1) = A008472(p+1), where A008472 = sum of distinct primes dividing n. A203182