Properties of the Number 45757

Forty-Five Thousand Seven Hundred Fifty-Seven

Basics

Value: 45756 → 45757 → 45758

Parity: odd

Prime: Yes

Previous Prime: 45751

Next Prime: 45763

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 45757

Divisors: 1, 45757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010111101

Octal: 131275

Duodecimal: 22591

Hexadecimal: b2bd

Square: 2093703049

Square Root: 213.9088590965788

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, 7} as digits. A217039

Primes in the chain of repeated application of x->2·x+3, starting at x=1427. A163589

Primes of the form (1 + x)^y + (-x)^y where y is a divisor of x. A285887

Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k. A364797

Primes p such that 2·p² + 3 and 2·p² + 5 are also primes. A247197

a(n) is the smallest prime m such that prod(m) = n·length(m)*sum(m) where prod(m) is the product of the digits of m, length(m) is the number of digits of m, sum(m) is the sum of the digits of m; or 0 if no such m exists. A64023

Primes which are the sum of the first k nonprimes for some k >= 2. A128927

a(n) = smallest prime q > a(n-1) such that 2·prime(n)*q^prime(n)+1 is also prime. A225747

Row sums of triangle in A139040. A238383

Primes formed by an m-digit prime concatenated with its last (m-1) digits, for m > 1. A252667