Properties of the Number 45576

Forty-Five Thousand Five Hundred Seventy-Six

Basics

Value: 45575 → 45576 → 45577

Parity: even

Prime: No

Previous Prime: 45569

Next Prime: 45587

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 211

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001000001000

Octal: 131010

Duodecimal: 22460

Hexadecimal: b208

Square: 2077171776

Square Root: 213.48536249588636

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) = floor((5ⁿ)/(3ⁿ + 2ⁿ)). A191696

Numbers k such that there is a primitive Pythagorean triple with perimeter k and inradius r such that p + r, p - r, p + r² and |p - r²| are all prime. A392988

a(n) = (7·n+1)*(7·n+6). A1526

Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7. A252250

Partial sums of A033616. A299902

Numbers k that divide 3^k + 2^k. A45576

Triangle, read by rows, of coefficients in powers of e.g.f. for A100065 such that, for each row n>=0, ∑_k=0..n T(n,k)/k! = [exp(n)] (integer floor of eⁿ). A100064

E.g.f. A(x) satisfies: ∑_k=0..n (A(x)ⁿ)_k/k! = [exp(n)] (integer floor of eⁿ) for all n>=0, where (A(x)ⁿ)_k/k! is the coefficient of x^k in A(x)ⁿ. A100065

Squares visited by a knight moving on a board with squares numbered with the minimum number of steps for a knight to reach the square when starting from the origin. The knight moves to the smallest numbered unvisited square; the minimum distance from the origin is used if the square numbers are equal; the smallest spiral number ordering is used if the distances are equal. A329129