Properties of the Number 10052

Ten Thousand Fifty-Two

Basics

Value: 10051 → 10052 → 10053

Parity: even

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 359

Divisors: 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011101000100

Octal: 23504

Duodecimal: 5998

Hexadecimal: 2744

Square: 101042704

Square Root: 100.25966287595426

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

Number of regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles (a(0)=0 by convention). A306302

Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime. A90832

Expansion of x*(1+x-x²)/((1-x)⁴*(1+x)). A5744

Numbers n such that p(n),p(n)+6,p(n)+12,p(n)+18 are consecutive primes and p(n)=6·k+1 for some k, where p(n) denotes n-th prime. A90838

T(n,k)=5X5X5 triangular graph without horizontal edges coloring a rectangular array: number of nXk 0..14 arrays where 0..14 label nodes of a graph with edges 0,1 0,2 1,3 1,4 2,4 2,5 3,6 3,7 4,7 4,8 5,8 5,9 6,10 6,11 7,11 7,12 8,12 8,13 9,13 9,14 and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223432

Number of equilateral triangles formed out of matches that can be found in a hexagonal chunk of side length n in hexagonal array of matchsticks. A45949

Least multiple of n in which the n-th digit from left is 5. A113560

Expansion of ∏_m>=1 (1+x^m)¹⁴. A22579

Number of partitions of n that include a pair of consecutive integers. A237666

The first Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1). A292344