13109
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13110
- 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
- 13108
- Möbius Function
- -1
- Radical
- 13109
- 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
- 45
- 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
- 1560
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=20A020392
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=33A023298
- Primes that are palindromic in base 7.at n=39A029975
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=20A050966
- Primes p such that 2^p-1 and the p-th Fibonacci number have a common factor. Prime terms of A074776.at n=3A080050
- Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458.at n=7A094459
- Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=35A094464
- Balanced primes of order seven.at n=14A096699
- Indices of primes in sequence defined by A(0) = 59, A(n) = 10*A(n-1) - 41 for n > 0.at n=22A101581
- Square-chain primes (including square-loop primes).at n=34A108659
- (4^(n+1)-(-1)^n 9 )/5.at n=6A109546
- Odd winning positions in Fibonacci nim.at n=28A120904
- Largest prime factor in A071576 starting from 4th position.at n=5A123248
- Father primes of order 11.at n=15A136080
- Primes of the form 2*3*5*7*k+89, k >= 0.at n=30A141866
- Primes congruent to 11 mod 37.at n=39A142120
- Primes congruent to 30 mod 41.at n=41A142227
- Primes congruent to 37 mod 43.at n=36A142286
- Primes congruent to 43 mod 47.at n=37A142394
- Primes congruent to 26 mod 49.at n=39A142436