Properties of the Number 5001

Five Thousand One

Basics

Value: 5000 → 5001 → 5002

Parity: odd

Prime: No

Previous Prime: 4999

Next Prime: 5003

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 1667

Divisors: 1, 3, 1667, 5001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001110001001

Octal: 11611

Duodecimal: 2A89

Hexadecimal: 1389

Square: 25010001

Square Root: 70.71774883294857

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

Trimorphic numbers: n³ ends with n. Also m-morphic numbers for all m > 5 such that m-1 is not divisible by 10 and m == 3 (mod 4). A33819

Number of compositions of n when each even part can be of two kinds. A105476

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 5 as largest digit. A256631

Numbers m that divide the concatenation of m+1 and m+2. A69860

Smallest palindromic number of 5 digits in two bases differing by n. A216899

Palindromic numbers in bases 6 and 8 written in base 10. A259384

Number of integer partitions of n > 0 where the minimum part equals the number of parts minus the number of distinct parts. A324520

Third row of Pascal-(1,3,1) array A081578. A81585

a(n) = 3·n² - n - 1. A144390

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302309