3986
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5982
- Proper Divisor Sum (Aliquot Sum)
- 1996
- 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
- 1992
- Möbius Function
- 1
- Radical
- 3986
- Omega Function (Ω)
- 2
- 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
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 51
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 T1 for Zeolite Code MFI.at n=40A008161
- Coordination sequence T1 for Zeolite Code SGT.at n=39A008229
- Numbers k such that the continued fraction for sqrt(k) has period 11.at n=35A020350
- a(n) = Sum_{k=1..n} floor((n/k) * floor((n/k) * floor(n/k))).at n=14A024922
- T(n,0) + T(n,1) + ... + T(n,n), T given by A026670.at n=11A026677
- Numbers having period-4 6-digitized sequences.at n=14A031197
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 4 (mod 5).at n=39A035565
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=18A051965
- Susceptibility series H_4 for 2-dimensional Ising model (divided by 2) for 1 particle excitation.at n=6A055920
- a(n) = least value such that sequence increases and pairwise differences are unique.at n=47A058336
- McKay-Thompson series of class 52B for Monster.at n=53A058706
- Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits.at n=25A061429
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 96 ).at n=37A063369
- Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x.at n=28A063948
- Values of k for which A065358(k) is 0.at n=46A064940
- Antidiagonal sums of triangle A097094, where self-convolution forms A097096 (row sums of triangle A097094).at n=20A097097
- Numbers whose Matula tree is a binary tree (i.e., root has degree 2 and all nodes except root and leaves have degree 3).at n=10A111299
- Number of permutations of length n which avoid the patterns 321, 31245.at n=9A116851
- Irregular triangle: p(k, x) = 2*x*p(k-1, x) + (1 - x^2)*p(k-2, x) for even k, p(k, x) = 2*(k-1)*p(k-1, x) - x*p(k-2, x) for odd k.at n=36A123242
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=28A127302