8184
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
- 32
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 14856
- 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
- 2400
- Möbius Function
- 0
- Radical
- 2046
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 65
- 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
- Fermat coefficients.at n=14A000970
- Expansion of 1 / (Sum_{n=-oo..oo} x^(n^2))^3.at n=8A004404
- a(n) = floor(n*phi^15), where phi is the golden ratio, A001622.at n=6A004930
- a(n) = round(n*phi^15), where phi is the golden ratio, A001622.at n=6A004950
- Molien series for cyclic group of order 5.at n=29A008646
- Orders of non-cyclic simple groups (divided by 4).at n=22A008976
- a(n) = floor(C(n,4)/5).at n=33A011795
- a(n) = floor(n*(n-1)*(n-2)/4).at n=33A011886
- n is equal to the number of 1's in all numbers <= n written in base 8.at n=8A014885
- a(n) = n*(15*n + 1)/2.at n=33A022273
- a(n) = n*(17*n + 1)/2.at n=31A022275
- Theta series of A*_11 lattice.at n=51A023923
- a(n) = Sum_{k=0..n} (k+1) * A026637(n,k).at n=10A026970
- Schoenheim bound L_1(n,5,4).at n=28A036832
- Positive numbers having the same set of digits in base 4 and base 9.at n=43A037427
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-4)/2.at n=19A048069
- Partial sums of A051878.at n=7A050404
- a(n) = T(n,5), array T as in A051168; a count of Lyndon words; aperiodic necklaces with 5 black beads and n-5 white beads.at n=29A051170
- E.g.f. 1/((1-x)(1-4x)).at n=4A052654
- Number of primitive (aperiodic) palindromes using a maximum of two different symbols.at n=24A056458