3305
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3972
- Proper Divisor Sum (Aliquot Sum)
- 667
- 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
- 2640
- Möbius Function
- 1
- Radical
- 3305
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 48
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=34A003402
- Number of factorization patterns of polynomials of degree n over F_3.at n=17A006168
- Coordination sequence T2 for Zeolite Code SGT.at n=36A008230
- f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices.at n=27A011826
- Base 6 expansion uses each positive digit just once.at n=30A023744
- Number of partitions of n into prime power parts (1 excluded).at n=44A023894
- n written in fractional base 6/3.at n=41A024636
- Index of 9^n within the sequence of the numbers of the form 2^i*9^j.at n=45A025734
- Denominators of continued fraction convergents to sqrt(210).at n=4A041391
- Denominators of continued fraction convergents to sqrt(840).at n=4A042623
- Numbers whose base-5 representation has exactly 6 runs.at n=20A043606
- Numbers n such that string 0,5 occurs in the base 10 representation of n but not of n-1.at n=35A044337
- Numbers n such that string 0,5 occurs in the base 10 representation of n but not of n+1.at n=35A044718
- Numbers whose base-5 representation contains exactly two 0's and three 1's.at n=28A045168
- Numbers k that divide 8^k + 7^k.at n=38A045604
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049735.at n=16A049737
- n satisfying sigma(n+1) = sigma(n-1).at n=11A055574
- a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=20A059605
- G.f.: Sum_{k >= 1} (phi(k)/k)*log(1-f(x^k)), where f(x) = (1 - sqrt(1 - 4*x)) / (2*x) - 1 is the g.f. for the Catalan numbers (A000108) C_1, C_2, C_3, ...at n=8A060404
- Numbers k such that x-4, x-2, x+2, x+4 are primes, where x = 30*k - 15.at n=36A061668