Properties of the Number 65251

Sixty-Five Thousand Two Hundred Fifty-One

Basics

Value: 65250 → 65251 → 65252

Parity: odd

Prime: No

Previous Prime: 65239

Next Prime: 65257

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 23 × 2837

Divisors: 1, 23, 2837, 65251

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111011100011

Octal: 177343

Duodecimal: 31917

Hexadecimal: fee3

Square: 4257693001

Square Root: 255.44275288212816

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)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..3 nXk array. A218196

T(n,k) = Number of n X k 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,1,2,4,0 for x=0,1,2,3,4. A197079

a(n) = ∑_{k=0..floor(n/5)} (-1)^k * binomial(n+4,5·k+4) * Catalan(k). A360051

Number of n X 4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,1,2,4,0 for x=0,1,2,3,4. A197075

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,1,2,4,0 for x=0,1,2,3,4. A197077

Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..3 nX4 array. A218192

Hilltop maps: number of n X n binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..3 n X n array. A218188

Simple quasi-periodic sequence consisting of the terms 1, 0 and -1. A65251

Number of (n+1)X(n+1) -7..7 symmetric matrices with every 2X2 subblock having sum zero and one, two or three distinct values. A211445