3880
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8820
- Proper Divisor Sum (Aliquot Sum)
- 4940
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1536
- Möbius Function
- 0
- Radical
- 970
- Omega Function (Ω)
- 5
- 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
- 100
- 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
- yes
- Odd
- no
Appears in sequences
- Number of discordant permutations.at n=3A000563
- G.f.: -1 + Product_{k>=1} (1 + prime(k)*x^prime(k)).at n=29A002099
- Coordination sequence for quartz.at n=35A008261
- Coordination sequence T2 for Zeolite Code RUT.at n=41A009898
- Expansion of e.g.f. arcsin(arctan(x) * exp(x)).at n=7A012410
- n is equal to the number of 2's in all numbers <= n written in base 6.at n=2A014891
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs.at n=27A015698
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among pairs.at n=27A015699
- a(n) = 4^n - n^3.at n=6A024039
- T(n,0) + T(n,1) + ... + T(n,n), T given by A026648.at n=11A026655
- Expansion of Product(1+q^m)^(m(m-1)/2); m=1..inf.at n=14A027999
- 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 31.at n=14A031529
- Numbers k such that 97*2^k+1 is prime.at n=11A032398
- Sums of 4 distinct powers of 5.at n=13A038476
- First gap of n in sequence A038593 (lower terms).at n=23A038661
- Multiples of 4 that are the difference of two positive cubes.at n=44A038849
- Multiples of 8 that are the difference of two positive cubes.at n=34A038850
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=18A038853
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=5A038854
- Numbers n such that string 8,8 occurs in the base 10 representation of n but not of n-1.at n=38A044420