Properties of the Number 61136

Sixty-One Thousand One Hundred Thirty-Six

Basics

Value: 61135 → 61136 → 61137

Parity: even

Prime: No

Previous Prime: 61129

Next Prime: 61141

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 3821

Divisors: 1, 2, 4, 8, 16, 3821, 7642, 15284, 30568, 61136

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110111011010000

Octal: 167320

Duodecimal: 2B468

Hexadecimal: eed0

Square: 3737610496

Square Root: 247.25695136840946

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

The partition function G(n,3). A1680

T(n,k)=Number of (n·k)Xk binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row. A188416

T(n,k) = Number of (n·k) X k binary arrays with nonzero rows in decreasing order, no more than 3 ones in any row and exactly n ones in every column. A188449

Number of partitions of an n-set into blocks of size <= sqrt(n). A368502

Number of length-4 0..n arrays with no following elements larger than the first repeated value. A267472

a(n) is the smallest position k >= 1 on the diagonal at which a record gap of size n between two adjacent Dyck paths of the symmetric representation of σ starts. A319139

Number of degree-n odd permutations of order dividing 4. A61136