3852
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
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 5976
- 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
- 1272
- Möbius Function
- 0
- Radical
- 642
- Omega Function (Ω)
- 5
- 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
- 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
- Permanent of the Desarguesian projective plane PG(2,n), or 0 if such plane does not exist.at n=3A000794
- Coordination sequence T1 for Zeolite Code AFG.at n=43A008012
- Coordination sequence T1 for Zeolite Code LOS.at n=43A008132
- Coordination sequence T3 for Zeolite Code -CHI.at n=39A009848
- Coordination sequence T1 for Zeolite Code VNI.at n=38A009907
- Prefix (or Levenshtein) codes for natural numbers.at n=28A010097
- a(n) = floor(n*(n-1)*(n-2)/7).at n=31A011889
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=18A014203
- Number of lines through exactly 8 points of an n X n grid of points.at n=53A018815
- a(n) = (d(n)-r(n))/5, where d = A026043 and r is the periodic sequence with fundamental period (0,2,3,0,0).at n=35A026045
- Numbers in which all pairs of consecutive base-8 digits differ by 3.at n=43A033079
- a(n) = floor(E_(n+1)/E_(n)) where E_n is n-th Euler number (see A028296 and A000364).at n=47A034971
- Positive numbers having the same set of digits in base 6 and base 9.at n=23A037436
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=7A045079
- Pentagonal numbers multiplied by 2: a(n) = n*(3*n-1).at n=36A049450
- Number of partitions of n with parts (with repetitions) forming a division lattice (i.e., closed under GCD and LCM).at n=49A051839
- e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2*k.at n=35A054979
- Number of 3-element ordered antichain covers of an unlabeled n-element set.at n=7A056074
- a(n) = |{m : multiplicative order of 5 mod m=n}|.at n=49A059887
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 75 ).at n=28A063348