3321
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 5082
- Proper Divisor Sum (Aliquot Sum)
- 1761
- 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
- 2160
- Möbius Function
- 0
- Radical
- 123
- Omega Function (Ω)
- 5
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 105
- 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
- no
- Odd
- yes
Appears in sequences
- Hexagonal numbers: a(n) = n*(2*n-1).at n=41A000384
- Bending a piece of wire of length n+1 (configurations that can only be brought into coincidence by turning the figure over are counted as different).at n=8A001444
- a(n) = floor(1000*log_2(n)).at n=9A004265
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=27A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=27A004965
- Coordination sequence T1 for Zeolite Code BOG.at n=41A008049
- Coordination sequence T1 for Zeolite Code KFI.at n=44A008123
- Coordination sequence T7 for Zeolite Code MEL.at n=37A008156
- Expansion of Jacobi theta constant theta_2^6 /(64q^(3/2)).at n=40A008440
- Expansion of Product_{k>=1} (1 - x^k)^9.at n=31A010817
- Odd triangular numbers.at n=40A014493
- a(n) = (2*n+1)*(4*n+1).at n=20A014634
- Coordination sequence T3 for Zeolite Code TER.at n=39A016435
- Binomial coefficients C(n,80).at n=2A017744
- Binomial coefficients C(82,n).at n=2A017798
- Smallest triangular number that begins with n.at n=32A018855
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CON = CIT-1 H2[B2Si54O112] starting with a T3 atom.at n=11A019099
- 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 T7 atom.at n=11A019164
- Pseudoprimes to base 80.at n=26A020208
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=18A020385