7188
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 9612
- 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
- 2392
- Möbius Function
- 0
- Radical
- 3594
- 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
- 119
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite STI = Stilbite Na4Ca8[Al20Si52O144].56H2O starting with a T4 atom.at n=12A019239
- a(n) = n*(25*n - 1)/2.at n=24A022282
- a(n) is least k such that k and 7k are anagrams in base n (written in base 10).at n=1A023099
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 4 (mod 5).at n=52A035586
- Number of numbers below 10^n with nonzero multiplicative digital root 7.at n=5A051827
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=32A063350
- Positions where values change in A100144.at n=43A100250
- Number of partitions of 2n prime to 3 with all odd parts occurring with multiplicity 2. The even parts occur with multiplicity 1.at n=53A103260
- Number of regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments.at n=20A108914
- Number of linear arrangements of n blue, n red and n green items such that there are no adjacent items of the same color.at n=5A110706
- a(n) = the number of aperiodic subsets S of the n-th roots of 1 with zero sum (i.e., there is no r different from 1 such that r*S=S).at n=39A110981
- Number of Hi-Lo arrangements HL(m,n) of a deck with n suits and m ranks in each suit, m>=1, n>=1.at n=25A143381
- Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2.at n=45A180825
- Number of strings of numbers x(i=1..n) in 0..4 with sum i^3*x(i)^2 equal to n^3*16.at n=11A184298
- Omit the initial 1 from A000141 and take the Mobius transform.at n=18A190622
- G.f. satisfies: A(x) = Product_{n>=1} (1 + x^n*A(x)^(n^2)).at n=7A192784
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,4,6,4,1.at n=18A221997
- Numbers k such that Bernoulli number B_k has denominator 2730.at n=25A249134
- The smallest amount which cannot be made with fewer than n British coins.at n=41A258272
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 197", based on the 5-celled von Neumann neighborhood.at n=45A270716