3966
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7944
- Proper Divisor Sum (Aliquot Sum)
- 3978
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1320
- Möbius Function
- -1
- Radical
- 3966
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 51
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Coordination sequence T3 for Zeolite Code MFI.at n=40A008166
- Coordination sequence T4 for Zeolite Code TON.at n=39A008244
- Expansion of 1/(1 - x^10 - x^11 - ...).at n=61A017904
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=32A023177
- Number of products of distinct primes <= prime(n) equal to -1 (mod prime(n)).at n=18A024404
- 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 40.at n=31A031538
- Number of self-avoiding polygons with perimeter n on hexagonal [ =triangular ] lattice.at n=10A036418
- Coordination sequence T4 for Zeolite Code STF.at n=42A038439
- Numbers k such that k | sigma_11(k).at n=15A055715
- Square array read by antidiagonals with T(n,k)=T(n,k-1)^2+n*T(n,k-1)+1 and T(n,0)=0.at n=40A060136
- phi(s(n^3)) is a square, where s(n) is sigma(n)-n (A001065).at n=15A063798
- a(1)=1; a(n+1) is the smallest integer > a(n) such that Sum_{k=a(n)..a(n+1)} 1/sqrt(k) > Pi.at n=40A073347
- Numbers in the cycle-attractors of length=14 of the function f(x)=A063919(x).at n=8A097030
- Initial values for iteration of the function f(x) = A063919(x) such that the iteration ends in a 14-cycle, i.e., in A097030.at n=31A097034
- Number of triangles similar to their n-th pedal, and not similar to any k-th pedal for k < n.at n=5A102536
- Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.at n=6A117345
- Numbers n such that 1 + n + n^3 + n^5 + n^7 + n^9 + n^11 + ... + n^37 + n^39 is prime.at n=41A124189
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + k^13 + k^15 + k^17 + k^19 + k^21 + k^23 + k^25 + k^27 + k^29 + k^31 + k^33 + k^35 + k^37 + k^39 + k^41 + k^43 + k^45 + k^47 + k^49 + k^51 is prime.at n=41A124206
- a(n) is the number of integers x that can be written x = (2^c(1) - 2^c(2) - 3*2^c(3) - 3^2*2^c(4) - ... - 3^(m-2)*2^c(m) - 3^(m-1)) / 3^m for integers c(1), c(2), ..., c(m) such that n = c(1) > c(2) > ... > c(m) > 0 and c(1) - c(2) != 2 if m >= 2.at n=34A131450
- Positions of 10 after the decimal point in the decimal expansion of Pi.at n=44A134210