3300
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 7116
- 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
- 800
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 6
- 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
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 136
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of 1/((1+x)*(1-x)^5).at n=17A001752
- Expansion of 1/((1+x)*(1-x)^12).at n=5A001808
- Numbers that are the sum of 10 positive 6th powers.at n=44A003366
- Cubes written in base 8.at n=11A004638
- Number of nonseparable tree-rooted planar maps with n + 2 edges and 3 vertices.at n=7A006411
- Number of primitive n-node animals on cubic lattice.at n=5A007194
- Coordination sequence T2 for Zeolite Code BIK.at n=34A008048
- Coordination sequence T2 for Zeolite Code PAU.at n=42A008220
- Coordination sequence T3 for Zeolite Code PAU.at n=42A008221
- Coordination sequence T1 for Zeolite Code iRON.at n=40A009881
- Multiplicity of K_3 in K_n.at n=45A014557
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=27A015633
- n written in fractional base 6/3.at n=36A024636
- Coordination sequence T5 for Zeolite Code MWW.at n=38A024990
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=25A026103
- Numbers that, when expressed in base 2 and then interpreted in base 10, yield a multiple of the original number.at n=44A032533
- Every run of digits of n in base 9 has length 2.at n=37A033007
- Every run of digits of n in base 10 has length 2.at n=27A033008
- Numbers whose base-10 expansion has no run of digits with length < 2.at n=38A033023
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/9) starts with n.at n=46A034074