5832
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 16395
- Proper Divisor Sum (Aliquot Sum)
- 10563
- 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
- 1944
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 9
- Little Omega Function (ω)
- 2
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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Generalized class numbers c_(n,1).at n=40A000233
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=41A000423
- The cubes: a(n) = n^3.at n=18A000578
- Powers of 18.at n=3A001027
- Number of stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below.at n=28A001524
- a(n) = 8*3^n.at n=6A005051
- Alkane (or paraffin) numbers l(8,n).at n=14A005995
- Numbers k such that phi(k) divides k.at n=52A007694
- Product of divisors of n.at n=17A007955
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=35A008233
- floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5).at n=44A008381
- a(n) = Product_{i=0..8} floor((n+i)/9).at n=24A009714
- a(n) = 18^(2*n + 1).at n=1A013723
- a(n) = 18^(4*n+3).at n=0A013809
- a(n) = 18^(5*n + 3).at n=0A013888
- Even cubes: a(n) = (2*n)^3.at n=9A016743
- a(n) = (3*n)^3.at n=6A016767
- a(n) = (4n+2)^3.at n=4A016827
- a(n) = (5*n+3)^3.at n=3A016887
- a(n) = (6*n)^3.at n=3A016911