Properties of the Number 45753

Forty-Five Thousand Seven Hundred Fifty-Three

Basics

Value: 45752 → 45753 → 45754

Parity: odd

Prime: No

Previous Prime: 45751

Next Prime: 45757

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 101 × 151

Divisors: 1, 3, 101, 151, 303, 453, 15251, 45753

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010111001

Octal: 131271

Duodecimal: 22589

Hexadecimal: b2b9

Square: 2093337009

Square Root: 213.89950911584626

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

Expansion of g/(1 - x³*g³), where g = 1+x·g³ is the g.f. of A001764. A391062

Number of ordered partitions of an n-set without blocks of size 4. A343787

Triangular numbers t such that t+10 is a prime. A129755

Triangular numbers that are the product of 2 palindromes greater than 1. A115744

Triangular numbers of the form 2p-1 where p is prime. A217000

Integers m such that A342805(m) = m+3. A342806

Concatenation of triangular number k and its 10's complement is prime. A108970

Triangular numbers (A000217) whose second arithmetic derivative (A068346) is also a triangular number. A351131

Numbers n such that 4n-1 and 4n+1 are both primes. A45753