3789
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5486
- Proper Divisor Sum (Aliquot Sum)
- 1697
- 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
- 2520
- Möbius Function
- 0
- Radical
- 1263
- Omega Function (Ω)
- 3
- 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
- 38
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^3)).at n=48A000601
- Number of restricted 3 X 3 matrices with row and column sums n.at n=34A005045
- Representation degeneracies for boson strings.at n=30A005291
- Coordination sequence T1 for Zeolite Code KFI.at n=47A008123
- Coordination sequence T2 for Zeolite Code VSV.at n=39A009915
- Expansion of 1/(1-x^4-x^5-x^6).at n=44A017828
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=7A020405
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=29A027419
- Number of distinct products ijk with 1 <= i,j,k <= n.at n=38A027425
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=30A031794
- Gaps of 8 in sequence A038593 (upper terms).at n=5A038656
- Divisible by 3 (and 9) and are differences between two cubes in at least one way.at n=38A038851
- Numbers ending with '9' that are the difference of two positive cubes.at n=17A038864
- a(n) = (n+3)^3 - n^3.at n=18A038865
- Numbers n such that string 8,9 occurs in the base 10 representation of n but not of n-1.at n=37A044421
- Numbers k such that string 8,9 occurs in the base 10 representation of k but not of k+1.at n=37A044802
- a(1) = 4; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=31A046254
- Numbers k such that k and k-1 both have 6 divisors.at n=39A049104
- Composites for which the row of the prime-composite array (A063173) includes the leftmost element of both a zero-only antidiagonal and a zero-only diagonal(A067681).at n=28A063176
- a(n) is the smallest value of m such that prod(m) = n*length(m)*sum(m) where prod(m) is the product of the digits of m, length(m) is the number of digits of m, sum(m) is the sum of the digits of m; or 0 if no such m exists.at n=13A064022