Properties of the Number 63168

Sixty-Three Thousand One Hundred Sixty-Eight

Basics

Value: 63167 → 63168 → 63169

Parity: even

Prime: No

Previous Prime: 63149

Next Prime: 63179

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 7 × 47

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1111011011000000

Octal: 173300

Duodecimal: 30680

Hexadecimal: f6c0

Square: 3990196224

Square Root: 251.33244915848013

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

Half the number of 3 X n binary arrays with no path of adjacent 1's or adjacent 0's from top row to bottom row. A69429

Triangle of coefficients of Gaussian polynomials [2n+7,6]_q represented as finite sum of terms (1+q²)^k*q^g-k, where k = 0,1,...,g with g=6n+3. A267486

a(n) = ∑_k=1..n (-1)^k-1 * binomial(floor(n/k)+4,5). A366723

Numbers k such that 2^k - 1 is divisible by (k-1). A87965

Triangle read by rows: T(n,k) is number of noncrossing trees with n edges and having k nonroot nodes of degree 1. A101449

a(n) = (n+1)*(n+2)*(n+3)*(11·n² + 29·n + 20)/120. A114241

2^2p-2 modulo p³ for p=odd primes. A216160

Number of nX6 0..1 arrays with no element equal to more than three of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A281342

Triangular array read by rows: T(n,0) = 2ⁿ, T(n,k) = ∑_{i=n-k..n, j=0..i-n+k, i<>n or j<>k} T(i,j) for k > 0. A337129

Half the number of n X 7 binary arrays with no path of adjacent 1's or adjacent 0's from top row to bottom row. A69445