Properties of the Number 52676

Fifty-Two Thousand Six Hundred Seventy-Six

Basics

Value: 52675 → 52676 → 52677

Parity: even

Prime: No

Previous Prime: 52673

Next Prime: 52691

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 13 × 1013

Divisors: 1, 2, 4, 13, 26, 52, 1013, 2026, 4052, 13169

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100110111000100

Octal: 146704

Duodecimal: 26598

Hexadecimal: cdc4

Square: 2774760976

Square Root: 229.5125268912353

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 number of edges inside a cross with width 3 and height n (see Comments in A331455 for definition) formed by the straight line segments mutually connecting all vertices and all points. A330851

A simple context-free grammar: difference between A049140 and its convolution square. A52710

a(n) = a(n-1) - a(n-2) if n is prime or a(n-1) + a(n-2) otherwise. a(1) = a(2) = 1. A192439

Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240156

Numbers of ways in which a unit disc can be dissected into 6n curvilinear triangles, at least one of which does not contain the center. A193362

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240153

a(n) is the number of ordered solutions (x,y,z) to x³ + y³ == z³ mod n with 1 <= x,y,z <= n-1. A137401

Expansion of e.g.f. 3·x/(1 - 2·x). A52676