3726
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
- 20
- Divisor Sum
- 8712
- Proper Divisor Sum (Aliquot Sum)
- 4986
- 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
- 1188
- Möbius Function
- 0
- Radical
- 138
- 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
- 69
- 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 trimmed trees with n nodes.at n=17A002988
- Expansion of e.g.f.: 1 + x*exp(x) + x^2*exp(2*x) + x^3*exp(3*x).at n=6A003014
- Weighted count of partitions with distinct parts.at n=28A005895
- Trails of length n on cubic lattice.at n=5A006819
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=42A008000
- Coordination sequence T3 for Zeolite Code MTW.at n=40A008198
- Molien series for A_5.at n=45A008628
- a(0) = 1, a(n) = 19*n^2 + 2 for n>0.at n=14A010009
- Expansion of Product_{k>=1} (1 - x^k)^9.at n=33A010817
- Define the sequence S(a_0,a_1) by a_{n+2} is the least integer such that a_{n+2}/a_{n+1}>a_{n+1}/a_n for n >= 0. This is S(3,6).at n=9A018909
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T1 atom.at n=11A019199
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(3).at n=37A022769
- Coordination sequence T3 for Zeolite Code MWW.at n=42A024988
- a(n) = self-convolution of row n of array T given by A027170.at n=3A027182
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=29A027575
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 24 (most significant digit on right).at n=10A029517
- Multiplicity of highest weight (or singular) vectors associated with character chi_131 of Monster module.at n=37A034519
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5) <= cn(3,5).at n=61A036862
- Base-5 palindromes that start with 1.at n=41A043006
- a(n) = -(n-3)*a(n-1) + 2*(n-2)^2.at n=7A051398