3306
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 3894
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1008
- Möbius Function
- 1
- Radical
- 3306
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 92
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of unrooted hexagonal polyominoes with n cells and no reflections allowed.at n=8A002214
- a(n) = 2*n*(2*n-1).at n=29A002939
- Numbers m such that 4*3^m + 1 is prime.at n=14A005537
- Least k such that binomial(k,n) has n or more distinct prime factors.at n=46A005733
- Least k such that binomial(k,n) has n or more distinct prime factors.at n=47A005733
- Coordination sequence T5 for Zeolite Code DDR.at n=36A008075
- a(n) = floor(n*(n-1)*(n-2)/9).at n=32A011891
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EUO = EU-1 Nan[AlnSi112-nO224] starting with a T10 atom.at n=11A019129
- Expansion of Product_{m>=1} (1+x^m)^2.at n=23A022567
- Sequence satisfies T^2(a)=a, where T is defined below.at n=50A027589
- Even numbers k such that in k^2 the parity of digits alternates.at n=36A030157
- Divide natural numbers in groups with prime(n) elements and add together.at n=9A034957
- Coordination sequence T5 for Zeolite Code STT.at n=38A038415
- Numbers having four 1's in base 5.at n=30A043356
- Numbers n such that string 0,6 occurs in the base 10 representation of n but not of n-1.at n=35A044338
- Numbers n such that string 0,6 occurs in the base 10 representation of n but not of n+1.at n=35A044719
- Hexagonal matchstick numbers: a(n) = 3*n*(3*n+1).at n=19A045945
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 8 skipped primes.at n=31A050775
- Numbers n such that n | sigma_3(n) + sigma_2(n) + sigma_1(n) + sigma_0(n).at n=12A058076
- Triangle T(n,k) (n >= 2, k = 3..n+floor(n/2)) giving number of bicoverings of an n-set with k blocks.at n=16A059443