13613
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13614
- 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
- 13612
- Möbius Function
- -1
- Radical
- 13613
- 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
- 63
- 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
- 1609
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=44A001994
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=23A020396
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=43A024844
- Primes of the form j^2 + (j+1)^2.at n=28A027862
- Smallest prime with "n^2" as central digit(s).at n=19A038370
- Numerators of continued fraction convergents to sqrt(199).at n=6A041368
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=21A050966
- a(n) is the n-th prime == 1 (mod n).at n=40A077317
- Number of ways to get ten-pin bowling score of 300-n.at n=45A079596
- Number of triangular partitions of n of order 4.at n=17A084446
- Primes of the form (4*k + 3)^2 + (4*k + 2)^2 where k=0,1,2,3,...at n=8A087872
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=38A088483
- Smallest prime of the form (prime(n)*prime(n+1)+q)/2 for some integer n and some prime q.at n=36A100557
- Nontrivial Delannoy numbers that are primes.at n=30A101167
- Indices of primes in sequence defined by A(0) = 13, A(n) = 10*A(n-1) + 63 for n > 0.at n=16A102033
- a(n) = 8*n^2 + 4*n + 1.at n=41A102083
- Primes of the form 8*n^2 + 4*n + 1.at n=14A102130
- Column k=2 sequence of array A103728.at n=37A103729
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=27A119597
- Smallest prime p such that p divides m^(m+1)+1, where m = (p-2n-1)/(2n).at n=40A123571