13789
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13790
- 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
- 13788
- Möbius Function
- -1
- Radical
- 13789
- 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
- 58
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1631
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=15A031834
- Numbers whose set of base-15 digits is {1,4}.at n=25A032827
- Numbers whose base-4 representation contains exactly four 1's and three 3's.at n=24A045132
- Numbers (with nonzero digits only) where A046810 increases.at n=14A046811
- Number of anagrams of a(n) that are prime increases.at n=18A046888
- Values of n where number of permutations of digits a(n) that are prime increases.at n=17A046891
- a(n) is the least number with exactly n permutations of digits that are primes.at n=39A046893
- Primes whose sum of digits is the perfect number 28.at n=32A048517
- Primes of the form 2*n^2 + 11.at n=40A050265
- Primes p such that p and p^2 have same digit sum.at n=22A058370
- Smallest prime p such that sum of p and the next n-1 primes is a perfect square, or 1 if no such prime exists.at n=9A073887
- Number of partitions of n such that the least part occurs with even multiplicity.at n=38A096374
- Primes for which the level is equal to 9 in A117563.at n=36A118481
- a(n) is the numerator of Sum_{i=1..n} i!/(i^2).at n=7A121565
- Smallest prime in a sequence of n consecutive primes which add to a perfect square.at n=8A132955
- Prime numbers p such that p +- ((p-1)/6) are primes.at n=20A137724
- The smallest prime p that makes the pair p+/-6n both primes while no other pair of p+/-6k+6*n, 0<k<n both primes.at n=36A139602
- Primes congruent to 18 mod 47.at n=34A142369
- Primes congruent to 20 mod 49.at n=36A142431
- Primes congruent to 9 mod 53.at n=35A142539