2017
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2018
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2016
- Möbius Function
- -1
- Radical
- 2017
- 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
- 68
- 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
- 306
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (1,k) is "good".at n=23A000696
- Primes with 5 as smallest primitive root.at n=43A001124
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=13A001136
- Number of board-pile polyominoes with n cells.at n=7A001169
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=30A003402
- Class 4+ primes (for definition see A005105).at n=35A005108
- Primes p such that (p+1)/2 is prime.at n=35A005383
- Smallest number that requires n iterations of the bi-unitary totient function (A116550) to reach 1.at n=31A005424
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=45A007490
- Coordination sequence T4 for Zeolite Code AET.at n=31A008010
- Coordination sequence T5 for Zeolite Code AET.at n=31A008011
- Coordination sequence T1 for Zeolite Code AWW.at n=32A008045
- Coordination sequence T1 for Zeolite Code EUO.at n=28A008095
- Coordination sequence T1 for Zeolite Code MEL.at n=29A008150
- Coordination sequence T6 for Zeolite Code MEL.at n=29A008155
- Coordination sequence T1 for Zeolite Code YUG.at n=29A008247
- Coordination sequence T3 for Zeolite Code RTH.at n=31A009895
- exp(sin(x)+log(x+1))=1+2*x+3/2!*x^2+3/3!*x^3-3/4!*x^4-23/5!*x^5...at n=9A012887
- Primes of the form x^2 + 27y^2.at n=46A014752
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=24A015616