Properties of the Number 45066

Forty-Five Thousand Sixty-Six

Basics

Value: 45065 → 45066 → 45067

Parity: even

Prime: No

Previous Prime: 45061

Next Prime: 45077

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 29 × 37

Divisors: 1, 2, 3, 6, 7, 14, 21, 29, 37, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000000001010

Octal: 130012

Duodecimal: 220B6

Hexadecimal: b00a

Square: 2030944356

Square Root: 212.28754084966928

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

a(n) = A026626(2·n, n-2). A26629

Numbers k such that k⁶ + 1091 is prime. A66386

Number of partitions p of n such that (number of numbers of the form 5k + 3 in p) is a part of p. A241552

Number of regions in an equilateral triangle "frame" of size n. A328526

Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p that are > p/2. A282722

Primitive (squarefree) elements of A199745. A200145

Primitive congruent numbers that are the squarefree part of the area of primitive Pythagorean triangles (PPTs) ordered within a Berggren ternary tree of PPTs. A393290

Number of optimal binary prefix-free codes with n words all ending in 1. A55167

Number of permutations of [n] avoiding {1324, 2431, 3142}. A294819

a(n) = n*(2·n - 3 - (-1)ⁿ)*(11·n + (-1)ⁿ)/24. A308026