3330
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8892
- Proper Divisor Sum (Aliquot Sum)
- 5562
- 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
- 864
- Möbius Function
- 0
- Radical
- 1110
- Omega Function (Ω)
- 5
- 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
- 180
- 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
- Number of nonisomorphic groupoids with n elements.at n=3A001329
- Number of key permutations of length n: permutations {a_i} with |a_i - a_{i-1}| = 1 or 2.at n=17A003274
- a(n) = a(n-1) + a(n - 1 - number of even terms so far).at n=33A006336
- Coordination sequence T1 for Zeolite Code AFG.at n=40A008012
- Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.at n=40A008013
- Coordination sequence T1 for Zeolite Code EAB.at n=42A008082
- Coordination sequence T1 for Zeolite Code GOO.at n=39A008111
- Coordination sequence T1 for Zeolite Code LOS.at n=40A008132
- Coordination sequence T4 for Zeolite Code MEL.at n=37A008153
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=16A010004
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=37A011896
- Pisot sequence L(5,8).at n=12A020736
- Coordination sequence for root lattice B_3.at n=13A022145
- Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-8*x)).at n=3A022452
- n written in fractional base 6/3.at n=42A024636
- 5 times triangular numbers: a(n) = 5*n*(n+1)/2.at n=36A028895
- Theta series of 6-dimensional 11-modular even lattice of minimal norm 4.at n=31A029586
- Numbers having three 3's in base 10.at n=9A043503
- Numbers k such that the string 5,1 occurs in the base 9 representation of k but not of k-1.at n=45A044297
- Numbers n such that string 3,0 occurs in the base 10 representation of n but not of n-1.at n=37A044362