Properties of the Number 11581

Eleven Thousand Five Hundred Eighty-One

Basics

Value: 11580 → 11581 → 11582

Parity: odd

Prime: No

Previous Prime: 11579

Next Prime: 11587

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 37 × 313

Divisors: 1, 37, 313, 11581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110100111101

Octal: 26475

Duodecimal: 6851

Hexadecimal: 2d3d

Square: 134119561

Square Root: 107.61505470890214

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

Array read by antidiagonals: The number of parades with n girls and k boys that begin with a girl and end with a boy. A371761

Triangle read by rows: T(n,m) = ∑_i=0..m Stirling2(m+1,i+1)*(-1)^m-i*i^n-m*i!, for n >= 2, m = 1..n-1. A272644

T(n,k)=Number of (n+2)X(k+2) nonnegative integer arrays with all values the knight distance from the upper left minus as much as 3, with successive minimum path knight move differences either 0 or +1, and any unreachable value zero. A253342

Number of permutations satisfying i-3<=p(i)<=i+4, i=1..n. A72854

Counterbalanced numbers: Composite numbers k such that φ(k)/(σ(k)-k) is an integer. A55940

a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4). A26060

McKay-Thompson series of class 17A for the Monster simple group. A58530

McKay-Thompson series of class 17A for the Monster group with a(0) = 2. A152944

Semiprimes generated by the polynomial 2·n² + 29. A241554

Pseudoprimes to base 29. A20157