Properties of the Number 61668

Sixty-One Thousand Six Hundred Sixty-Eight

Basics

Value: 61667 → 61668 → 61669

Parity: even

Prime: No

Previous Prime: 61667

Next Prime: 61673

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 571

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000011100100

Octal: 170344

Duodecimal: 2B830

Hexadecimal: f0e4

Square: 3802942224

Square Root: 248.33042503889854

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A238046

Number of ways to place 3 nonattacking kings on an n X n toroidal board. A179404

Deep factorization of n, A300560, converted from binary to decimal. (Binary digits obtained by recursively replacing each factor p^e with [primepi(p) [e]], then '[' = 1, ']' = 0.) A300561

Number of ways to write n as an ordered sum of 9 primes (counting 1 as a prime). A341988

Numerator of Hermite(n, 9/25). A160013

Number of 8-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187863

Number of (n+1)X(2+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A238040

Number of (n+1)X(4+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A238042

a(n) = ∑_k=1..n-1 lcm(lcm(n, k), lcm(n, n-k)). A338798

T(n,k)=Number of n-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on a kXk board summed over all starting positions. A187857

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