13313
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13314
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13312
- Möbius Function
- -1
- Radical
- 13313
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1581
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that contain digits 1 and 3 only.at n=14A020451
- Smallest prime containing n-th cube as substring.at n=11A029949
- Smallest nontrivial extension of n-th cube which is a prime.at n=10A030692
- Substrings from the right are prime numbers (using only odd digits different from 5).at n=31A032437
- Numbers having only digits 1 and 3 in their decimal representation.at n=43A032917
- a(n) = ceiling((n + 7/10)^3).at n=22A034133
- Denominators of continued fraction convergents to sqrt(345).at n=10A041653
- Minimal 2^n safe-primes: a(n) = 2^n*A051886(n) + 1 (a prime number).at n=10A051900
- Prime number spiral (clockwise, East spoke).at n=20A054555
- a(n) is the least prime p such that p-1 is divisible by 2^n and not by 2^(n+1).at n=10A057775
- Primes having only {1, 2, 3} as digits.at n=40A062350
- Primes such that the sum of their digits and the sum of the reciprocals of their digits is also prime.at n=6A064779
- Smallest prime p such that (p-1) has n divisors, or 0 if no such prime exists.at n=21A066814
- Prime(n) and prime(n+2) use the same digits.at n=20A069794
- Smallest prime > 2n+1 beginning and ending with 2n+1, or 0 if no such prime exists.at n=6A070278
- Numbers k such that 3*k! - 1 is prime.at n=15A076134
- a(n) = 512*n + 1.at n=26A076338
- Primes of the form 512*k+1.at n=4A076339
- Proth primes: primes of the form k*2^m + 1 with odd k < 2^m, m >= 1.at n=42A080076
- Duplicate of A051900.at n=10A084706