3226
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4842
- Proper Divisor Sum (Aliquot Sum)
- 1616
- 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
- 1612
- Möbius Function
- 1
- Radical
- 3226
- 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
- 22
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n} with X + Y = Z (as in A002849), with the property that n is in one of the subsets.at n=18A002848
- a(n+1) = a(n)-th composite number, with a(0) = 1.at n=25A006508
- Coordination sequence T1 for Zeolite Code ATS.at n=41A008038
- Coordination sequence T5 for Zeolite Code MFI.at n=36A008168
- Numbers k such that the continued fraction for sqrt(k) has period 43.at n=6A020382
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=25A025212
- Coordination sequence T1 for Zeolite Code ITE.at n=39A027369
- G:=1/product((1-x^(3k-2))*(1-x^(3k-1))^2*(1-x^(3k))^3,k=1..infinity).at n=17A029864
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=24A031417
- Coordination sequence T4 for Zeolite Code CFI.at n=37A033602
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+7 or 20k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=40A036027
- Number of partitions of n such that cn(3,5) < cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5).at n=69A036875
- Digit sum of 'even' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=33A036926
- Positive numbers having the same set of digits in base 8 and base 10.at n=22A037442
- Number of "connected animals" formed from n 6-gon connected truncated octahedra (or corner connected cubes) in the b.c.c. lattice, allowing translation and rotations of the lattice and reflections.at n=6A038171
- Number of partitions satisfying cn(1,5) + cn(4,5) <= 1.at n=39A039856
- Numbers k such that the string 7,4 occurs in the base 9 representation of k but not of k-1.at n=43A044318
- Numbers n such that string 2,6 occurs in the base 10 representation of n but not of n-1.at n=35A044358
- Numbers n such that string 2,6 occurs in the base 10 representation of n but not of n+1.at n=35A044739
- Numbers whose base-5 representation contains exactly three 0's and two 1's.at n=20A045171