Properties of the Number 45765

Forty-Five Thousand Seven Hundred Sixty-Five

Basics

Value: 45764 → 45765 → 45766

Parity: odd

Prime: No

Previous Prime: 45763

Next Prime: 45767

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 113

Divisors: 1, 3, 5, 9, 15, 27, 45, 81, 113, 135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001011000101

Octal: 131305

Duodecimal: 22599

Hexadecimal: b2c5

Square: 2094435225

Square Root: 213.92755783208483

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 positive integers with n digits that are the product of two integers ending with 3. A346952

G.f. A(x) satisfies: A(x)² = A(x²) + 12·x. A264413

Numerators of the fractional coefficients of the square-root of the prime power series: ∑_n=0..inf p_n xⁿ, where p_n is the n-th prime and p₀ is defined to be 1. A73749

Number of partitions of n into parts with no prime gaps in their factorization. A137792

Expansion of e.g.f. -exp( x + LambertW(-3·x)/3 ). A372321

Nonsquarefree numbers that are not squareful. A332785

k - d(k) never takes these values, where d(k) = A000005(k). A45765

G.f. A(x) satisfies: A(x)² = A( x²/(1-6·x) ), with A(0) = 0. A264225

G.f. A(x) satisfies: A(x) = A( x² + 8·x*A(x)² )^1/2, with A(0)=0, A'(0)=1. A271935

G.f. satisfies: A(x)² = A( x²/(1-12·x)² ). A264233