3952
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 8680
- Proper Divisor Sum (Aliquot Sum)
- 4728
- 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
- 1728
- Möbius Function
- 0
- Radical
- 494
- 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
- Number of 3rd-order maximal independent sets in cycle graph.at n=38A007387
- Coordination sequence T1 for Zeolite Code KFI.at n=48A008123
- Coordination sequence T1 for Zeolite Code MER.at n=46A008160
- Coordination sequence T8 for Zeolite Code PAU.at n=46A008226
- Coordination sequence T3 for Zeolite Code TON.at n=39A008243
- a(n) = floor(n*(n-1)*(n-2)/15).at n=40A011897
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=55A014670
- Coordination sequence T3 for Zeolite Code CZP.at n=41A019458
- a(n) = 2^n - n^2.at n=12A024012
- Coordination sequence T1 for Zeolite Code ITE.at n=43A027369
- EXPCONV of squares A000290 with themselves.at n=5A033463
- Numbers whose base-7 representation contains exactly three 4's.at n=31A043411
- Nonnegative numbers of the form x^y - y^x, for x,y > 1.at n=15A045575
- Numbers with a sum of digits equal to their greatest prime factor.at n=31A052021
- Numbers k such that the sum of the first k composite numbers is palindromic.at n=9A053779
- Partial sums of A001891.at n=11A053808
- Euler transform applied three times to partition triangle A008284.at n=59A055886
- Numbers n such that n = A059333(A059333(n)).at n=47A059359
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 6) so far).at n=23A060733
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 53 ).at n=34A063326