3954
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7920
- Proper Divisor Sum (Aliquot Sum)
- 3966
- 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
- 1316
- Möbius Function
- -1
- Radical
- 3954
- 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
- 144
- 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 T2 for Zeolite Code MTN.at n=38A008187
- Coordination sequence T2 for Keatite.at n=35A009845
- Coordination sequence T2 for Zeolite Code RSN.at n=41A009886
- a(n) = sum of the numbers between the two n's in A026346.at n=41A026349
- T(n,n) + T(n,n+1) + ... + T(n,2n), T given by A027082.at n=8A027098
- 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 62.at n=7A031560
- "DFJ" (bracelet, size, labeled) transform of 2,2,2,2...at n=8A032209
- "EFJ" (unordered, size, labeled) transform of 2,2,2,2,...at n=8A032297
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 4).at n=41A035540
- a(n) = Sum_{k=1..n, m=1..k} T(m,k); array T as in A049828.at n=35A049830
- Numbers k such that 2^k - 3 is prime.at n=30A050414
- Vertically indecomposable lattices on n unlabeled nodes.at n=10A058800
- Numbers k such that floor((3/2)^(k+4))/floor((3/2)^k)=(3/2)^4.at n=42A067674
- Right side of the triangle A075652.at n=37A075649
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-2,1,2}.at n=16A079983
- Convolution of sigma(n) with phi(n).at n=28A086733
- List of distinct numbers appearing as denominators of Bernoulli numbers.at n=44A090801
- Numbers in the cycle-attractors of length=14 of the function f(x)=A063919(x).at n=7A097030
- 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=30A097034
- Triangle, read by rows, where the n-th diagonal equals the n-th row transformed by triangle A008459 (squared binomial coefficients).at n=70A097084