Properties of the Number 65507

Sixty-Five Thousand Five Hundred Seven

Basics

Value: 65506 → 65507 → 65508

Parity: odd

Prime: No

Previous Prime: 65497

Next Prime: 65519

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 13 × 5039

Divisors: 1, 13, 5039, 65507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111111100011

Octal: 177743

Duodecimal: 31AAB

Hexadecimal: ffe3

Square: 4291167049

Square Root: 255.943353107675

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..4 nXk array. A218288

On a 2 X n grid of vertices, draw a circle through every unordered triple of non-collinear vertices: a(n) is the number of distinct (finite) regions created. A384702

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 141", based on the 5-celled von Neumann neighborhood. A279147

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..4 nX4 array. A218284

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..4 n X n array. A218280

Numbers k such that (8·10^k - 83)/3 is prime. A293851

a(n) is the minimum integer k such that the smallest prime factor of the n-th Fermat number exceeds 2^{2ⁿ - k}. A358684

Smallest prime q such that (p^q+1)/(p+1) is a prime, where p = prime(n). A65507