Properties of the Number 10003

Ten Thousand Three

Basics

Value: 10002 → 10003 → 10004

Parity: odd

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 4

Digital Root: 4

Palindrome: No

Factorization: 7 × 1429

Divisors: 1, 7, 1429, 10003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011100010011

Octal: 23423

Duodecimal: 5957

Hexadecimal: 2713

Square: 100060009

Square Root: 100.01499887516871

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

Numbers whose sum of digits is 4. A52218

Number of integer partitions of n with more than one mode. A362607

Numbers in which 0 outnumbers all other digits together. A292730

n written in base where place values are positive squares. A7961

a(n) = smallest number that leads to a new cycle under the Kaprekar map of A151949. A151964

Numbers k such that the number of digits d in k² is not prime and for each factor f of d the sum of the d/f digit groupings in k² of size f is a square. A153745

T(n,k)=Number of nXk 0..2 arrays with each element equal to either the sum mod 3 of its horizontal and vertical neighbors or the sum mod 3 of its diagonal and antidiagonal neighbors. A183526

n is odd and sum of digits of n equals the numbers of divisors of n. A57532

Numbers that are the sum of eight fourth powers in six or more ways. A345581

Numbers that are the sum of eight fourth powers in exactly six ways. A345838