13693
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13694
- 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
- 13692
- Möbius Function
- -1
- Radical
- 13693
- 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
- 151
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1619
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + 4.at n=23A005473
- Numerators of continued fraction convergents to sqrt(535).at n=7A042022
- Denominators of continued fraction convergents to sqrt(853).at n=9A042647
- Numbers whose base-4 representation contains exactly four 1's and three 3's.at n=22A045132
- Numbers n such that n and n+4^k are all primes for k=1,2,3.at n=29A049493
- Moments of generalized Motzkin paths.at n=15A053442
- Scan decimal expansion of Mersenne primes (A000668), recording all primes seen.at n=22A053648
- Sum of the digits of the n-th Mersenne prime (A000668).at n=21A066538
- Greater of twin primes of the form x^2+2, x^2+4.at n=6A085554
- Primes p of the form x^2+4, such that either p-2 or p+2 is prime.at n=9A085555
- Twin-prime-indexed primes (TWIPS): members of a pair of twin primes whose prime index is also a member of a pair of twin primes.at n=32A087373
- Irregular primes whose indices are irregular primes of order one.at n=40A090869
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=31A090918
- Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=23A092475
- Balanced primes of order eleven.at n=6A096703
- Primes of the form n^2 + 4n + 8.at n=22A098062
- a(n) = (1/6)*(n^3 + 21*n^2 + 74*n + 18).at n=37A103145
- Smallest prime of just n consecutive primes all of which are irregular.at n=6A105019
- Primes such that the sum of the predecessor and successor primes is divisible by 41.at n=35A113157
- Twin prime pairs k-1 and k+1 such that the squares of both are present in A115557.at n=39A115560