3662
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5496
- Proper Divisor Sum (Aliquot Sum)
- 1834
- 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
- 1830
- Möbius Function
- 1
- Radical
- 3662
- 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
- 69
- Smith Number
- no
- 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
- a(n) = a(n-1) + a(n-9) for n >= 9; a(n) = 1 for n=0..7; a(8) = 2.at n=46A005711
- Coordination sequence T3 for Zeolite Code LIO.at n=42A008131
- Coordination sequence T7 for Zeolite Code MFS.at n=38A008179
- Coordination sequence for quartz.at n=34A008261
- Expansion of 1/(1 - x^9 - x^10 - ...).at n=56A017903
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFI = ZSM-5 Nan[AlnSi96-nO192] starting with a T1 atom.at n=11A019158
- 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 60.at n=5A031558
- Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 3,2,1,0.at n=5A037793
- Number of n-node rooted identity trees of height 5.at n=13A038089
- Coordination sequence T1 for Zeolite Code AFN.at n=43A038403
- Denominators of continued fraction convergents to sqrt(555).at n=9A042063
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 1.at n=42A050041
- Grundy function for turn-at-most-7-coins game.at n=22A054044
- 1 - (5/6)*n + (5/2)*n^2 + (10/3)*n^3 + n^4.at n=7A057675
- Numbers k such that x-4, x-2, x+2, x+4 are primes, where x = 30*k - 15.at n=38A061668
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 96 ).at n=34A063369
- a(n) = floor((-1)^n*n!*(E(n,2)-E(n,1)*E(n-1,1))) where E(n,x) = Sum_{k=0..n} (-1)^k*x^k/k!.at n=15A065955
- Positions of check bits in code in A075940.at n=10A075942
- a(n) = floor(T(n+1)!*T(n-1)!/(T(n)!)^2), where T(n) = n(n+1)/2 = the n-th triangular number.at n=30A077539
- Number of ways of arranging the numbers 1..n in a circle so that there is no consecutive triple i, i+1, i+2 or i, i-1, i-2 (mod n).at n=7A078628