Properties of the Number 4013

Four Thousand Thirteen

Basics

Value: 4012 → 4013 → 4014

Parity: odd

Prime: Yes

Previous Prime: 4007

Next Prime: 4019

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 4013

Divisors: 1, 4013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110101101

Octal: 7655

Duodecimal: 23A5

Hexadecimal: fad

Square: 16104169

Square Root: 63.34824385884742

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

Balanced primes (of order one): primes which are the average of the previous prime and the following prime. A6562

Number of partitions of n such that no part is a sum of two or more other parts. A237667

Primes > 1000 in which every substring of length 3 is also prime. A69489

Numbers n such that (5ⁿ+1)/6 is a prime. A57171

Primes with first digit 4. A45710

Prime numbers ending in the prime number 13. A244763

Number of unimodal functions [1..n]->[0..2]. A223718

Balanced primes of order three. A82078

Primes p such that 3p - 2 and 3p + 2 are also primes. A125272

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626]. A78854