13309
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13310
- 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
- 13308
- Möbius Function
- -1
- Radical
- 13309
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- 1580
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of elements in Z[ i ] whose 'smallest algorithm' is <= n.at n=10A006457
- Numbers k such that the continued fraction for sqrt(k) has period 77.at n=18A020416
- Expansion of Product_{m>=1} (1+q^m)^(m^2).at n=11A027998
- Primes of the form n*phi(n)-1 where phi is the Euler function (in order of appearance).at n=45A046078
- Primes that are a sum of twin primes and their indices.at n=39A088187
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=30A090918
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=38A094454
- Primes from merging of 5 successive digits in decimal expansion of exp(2).at n=15A105001
- Numbers n such that (10^(2n+1)+72*10^n-1)/9 is prime.at n=6A107649
- Primes of the form p^k - p^(k-1) - 1, with p prime and k>1.at n=25A122395
- Primes of the form x^2 + 1365*y^2.at n=32A139667
- Primes of the form 2*3*5*7*n+79.at n=31A141563
- Primes congruent to 25 mod 41.at n=39A142222
- Primes congruent to 22 mod 43.at n=33A142271
- Primes congruent to 8 mod 47.at n=33A142359
- Primes congruent to 30 mod 49.at n=38A142439
- Primes congruent to 6 mod 53.at n=26A142536
- Primes congruent to 54 mod 55.at n=40A142640
- Primes congruent to 34 mod 59.at n=25A142761
- Primes congruent to 11 mod 61.at n=27A142809