3858
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7728
- Proper Divisor Sum (Aliquot Sum)
- 3870
- 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
- 1284
- Möbius Function
- -1
- Radical
- 3858
- 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
- 56
- 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
- Number of compact-rooted directed animals of size n having 3 source points.at n=7A005775
- Generalized Fibonacci numbers A_{n,2}.at n=27A006207
- Coordination sequence for Cr3Si, Cr position.at n=16A009928
- Expansion of 1/(1-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9).at n=20A013986
- Nearest integer to Gamma(n + 9/10)/Gamma(9/10).at n=7A020015
- Ceiling of Gamma(n+9/10)/Gamma(9/10).at n=7A020105
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 8.at n=14A022322
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=39A023166
- Coordination sequence T4 for Zeolite Code MWW.at n=41A024989
- Number of 4-balanced strings of length n: let d(S)= #(1)'s in S - #(0)'s, then S is k-balanced if every substring T has -k<=d(T)<=k; here k=4.at n=13A027559
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=28A029695
- a(1) = 1, a(n+1) = Sum_{k = 1..n} p(k)*a(n+1-k), where p(k) is the k-th prime.at n=7A030017
- 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=2A031560
- Multiplicity of highest weight (or singular) vectors associated with character chi_23 of Monster module.at n=34A034411
- Triangular array that counts rooted polyominoes.at n=47A038622
- Coordination sequence T2 for Zeolite Code DON.at n=42A047954
- Number of factorizations into distinct factors with 2 levels of parentheses indexed by prime signatures. A050347(A025487).at n=43A050348
- Numbers whose 4th power is the sum of two positive cubes in a nontrivial way.at n=42A051387
- a(n) = (9*n^2 + 5*n + 2)/2.at n=29A064225
- Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n^2-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k).at n=39A067345