Properties of the Number 10013

Ten Thousand Thirteen

Basics

Value: 10012 → 10013 → 10014

Parity: odd

Prime: No

Previous Prime: 10009

Next Prime: 10037

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 17 × 19 × 31

Divisors: 1, 17, 19, 31, 323, 527, 589, 10013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100011101

Octal: 23435

Duodecimal: 5965

Hexadecimal: 271d

Square: 100260169

Square Root: 100.0649788887201

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 n such that sum of digits = number of digits. A61384

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

Number of ordered triples (i,j,k) with |i|, |j|, |k|, |i·j*k| <= n. A226359

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

a(n) = A239460(n) / n². A239463

Numbers k such that 4*φ(k) = 3*σ(k). A65819

Least 3-brilliant number of size n. A83128

Where records occur in A117831. A118474

A variant of primeval numbers A072857 where primes are counted with repetition as in A075053, not as in A039993. A239196

Number of commutative asymmetric semigroups of order n. A58105