Properties of the Number 45780

Forty-Five Thousand Seven Hundred Eighty

Basics

Value: 45779 → 45780 → 45781

Parity: even

Prime: No

Previous Prime: 45779

Next Prime: 45817

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 7 × 109

Divisors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001011010100

Octal: 131324

Duodecimal: 225B0

Hexadecimal: b2d4

Square: 2095808400

Square Root: 213.9626135566679

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

Place two n-gons with radii 1 and 2 concentrically, forming an annular area between them. Connect all the vertices with line segments that lie entirely within that area. Then a(n) is the number of vertices in that figure. A337701

a(n) = (2·n³ + 5·n² - 9·n)/2. A162258

Numbers n such that 299·2ⁿ-1 is prime. A50908

a(n) = A144066(n+3,3). A341597

Least value with A045779(n) factorizations into distinct factors. A45780

Number of ways to place 7 points on an n X n square grid so that no more than 2 points are on a vertical or horizontal straight line. A279441

Number of {2,3}-regular graphs; i.e., labeled simple graphs (no multi-edges or loops) on n vertices, each of degree 2 or 3. A110040

Equals two maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and vertical neighbors in a random 0..1 nX2 array. A220238

Equals one maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and vertical neighbors in a random 0..1 nX2 array. A220283