Properties of the Number 61539

Sixty-One Thousand Five Hundred Thirty-Nine

Basics

Value: 61538 → 61539 → 61540

Parity: odd

Prime: No

Previous Prime: 61519

Next Prime: 61543

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 73 × 281

Divisors: 1, 3, 73, 219, 281, 843, 20513, 61539

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000001100011

Octal: 170143

Duodecimal: 2B743

Hexadecimal: f063

Square: 3787048521

Square Root: 248.07055447997047

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 signed permutations in B_n which correspond to smooth Schubert varieties. These permutations avoid the following patterns: (-2 -1) (1 2 -3) (1 -2 -3) (-1 2 -3) (2 -1 -3) (-2 1 -3) (3 -2 1) (2 -4 3 1) (-2 -4 3 1) (3412) (3 4 -1 2) (-3 4 1 2) (4 1 3 -2) (4 -1 3 -2) (4 2 3 1) (4 2 3 -1) (-4 2 3 1). A61539

Number of nX4 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A230827