Properties of the Number 45755

Forty-Five Thousand Seven Hundred Fifty-Five

Basics

Value: 45754 → 45755 → 45756

Parity: odd

Prime: No

Previous Prime: 45751

Next Prime: 45757

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 9151

Divisors: 1, 5, 9151, 45755

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010111011

Octal: 131273

Duodecimal: 2258B

Hexadecimal: b2bb

Square: 2093520025

Square Root: 213.90418415729974

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

Number of partitions of n such that the (sum of distinct even parts) >= n/2. A284619

Number of partitions of n such that the (sum of distinct even parts) > n/2. A284618

Numbers k such that k-1 is a palindrome in base 10, and k+1 is a palindrome in base 17. A33621

a(1) = 1, a(2) = 2, a(3) = 3; for n > 3, a(n) is the smallest positive number which has not appeared such that all the distinct prime factors of a(n-3) + a(n-2) + a(n-1) are factors of a(n). A361593

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 3. A49925

8-fold factorials: a(n) = ∏_k=0..n-1 (8·k+1). A45755