4188
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9800
- Proper Divisor Sum (Aliquot Sum)
- 5612
- 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
- 1392
- Möbius Function
- 0
- Radical
- 2094
- Omega Function (Ω)
- 4
- 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
- 126
- 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
- Coordination sequence T4 for Zeolite Code GOO.at n=44A008114
- Coordination sequence T4 for Zeolite Code -PAR.at n=46A009858
- Coordination sequence T5 for Zeolite Code VET.at n=39A009906
- Number of inequivalent ways (mod D_4) a pair of checkers can be placed on an n X n board.at n=15A014409
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=28A024841
- 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 42.at n=26A031540
- a(n) = 2*n^2 + 3*n + 3.at n=45A033816
- Number of partitions satisfying cn(0,5) <= cn(2,5) + cn(3,5).at n=29A039840
- Numbers whose base-8 representation has exactly 5 runs.at n=17A043627
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=23A045031
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=26A052477
- n satisfying sigma(n+1) = sigma(n-1).at n=13A055574
- Partial sums of the partition function (A000041), with the last term subtracted. Also the sum of the row of the character table for S_n corresponding to the partition n-1,1 for n>1. Also the sum over all partitions lambda of n of one less than the number of 1's in lambda.at n=24A058884
- Geometric mean of the digits = 4. In other words, the product of the digits is = 4^k where k is the number of digits.at n=23A061428
- a(n) = floor( (4/3)*Pi*n^3 ).at n=10A066645
- Numbers k such that sigma(k-1) divides sigma(k+1).at n=17A067130
- Numbers k such that prime(k+1)-(k+1)*tau(k+1) = prime(k-1)-(k-1)*tau(k-1) where tau(k) = A000005(k) is the number of divisors of k.at n=31A067335
- (n concatenated n times) - n^n.at n=3A083451
- Values of k for which 7m+1, 8m+1 and 11m+1 are prime, with m = 1848k + 942.at n=37A101186
- Sum of the sides of ordered 2 X 2 prime squares.at n=24A105088