3168
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 6660
- 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
- 960
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 3
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
- 30
- Smith Number
- yes
- 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
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=43A000082
- 4th power of rooted tree enumerator: linear forests of 4 rooted trees.at n=7A000300
- Numbers k such that 3*2^k + 1 is prime.at n=21A002253
- a(n) = 3 + n/2 + 7*n^2/2.at n=30A006124
- Coordination sequence T3 for Zeolite Code MFI.at n=36A008166
- Coordination sequence T1 for Zeolite Code CGF.at n=39A019451
- Coordination sequence T1 for Zeolite Code SAO.at n=44A019571
- Fibonacci sequence beginning 0, 22.at n=12A022356
- a(n) = Sum_{0 <= i < j <= n} (prime(j) - prime(i))^2, where prime(0) = 1.at n=7A024526
- Numbers that are the sum of 4 nonzero squares in exactly 10 ways.at n=36A025366
- Numbers that are the sum of 4 distinct nonzero squares in exactly 7 ways.at n=48A025382
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=18A026040
- Number of partitions of n that do not contain 4 as a part.at n=30A027338
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=32A028896
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=23A029713
- Number of symmetrically inequivalent coincidence rotations of index n in lattice Z^4.at n=53A031361
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 27.at n=21A031525
- Number of aperiodic bracelets (turnover necklaces) with n beads of 3 colors.at n=9A032294
- Theta series of lattice D3 tensor D3 (dimension 9, det. 4096, min. norm 4).at n=6A033693
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=23A033701