3996
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10640
- Proper Divisor Sum (Aliquot Sum)
- 6644
- 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
- 1296
- Möbius Function
- 0
- Radical
- 222
- Omega Function (Ω)
- 6
- 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
- 51
- 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
- Coefficients of modular function denoted G_6(tau) by Atkin.at n=11A005764
- Coordination sequence T2 for Zeolite Code GOO.at n=43A008112
- Coordination sequence T2 for Zeolite Code JBW.at n=42A008122
- Coordination sequence for FeS2-Pyrite, Fe position.at n=29A009957
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=20A013987
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BEA = Beta Na7[Al7Si57O128] starting with a T4 atom.at n=11A019070
- a(n) = n*(11*n - 1)/2.at n=27A022268
- a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3.at n=21A022876
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=29A025000
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=36A028896
- Expansion of 1 / Product_{k >= 1} (1-q^k)^2*(1-q^(11k))^2.at n=15A032442
- Coordination sequence T2 for Zeolite Code ESV.at n=42A038410
- Coordination sequence T6 for Zeolite Code SFF.at n=42A038432
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5).at n=28A039842
- Number of score sequences in tournament with n players, when 4 points are awarded in each game.at n=5A047730
- Number of reversible strings with n beads using a maximum of six different colors.at n=5A056308
- Triangle T(n,k) = number of minimal covers of an unlabeled n-set that cover k points of that set uniquely, k=0..n.at n=61A056885
- McKay-Thompson series of class 36A for Monster.at n=35A058644
- McKay-Thompson series of class 36D for the Monster simple group.at n=35A058647
- Numbers k such that phi(x) = k has exactly 7 solutions.at n=28A060670