8000
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 19812
- Proper Divisor Sum (Aliquot Sum)
- 11812
- 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
- 3200
- Möbius Function
- 0
- Radical
- 10
- 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
- 114
- 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
- The cubes: a(n) = n^3.at n=20A000578
- Discriminants of totally real quartic fields (see comments).at n=28A002769
- a(n) = binomial(2n,n)^3.at n=3A002897
- Numbers of the form 2^i*5^j with i, j >= 0.at n=45A003592
- Cubes written in base 9.at n=17A004639
- Powers of 2 written in base 16.at n=15A004655
- Number of walks on cubic lattice.at n=7A005571
- Product of divisors of n.at n=19A007955
- Numbers k such that k^2 and k have same last 3 digits.at n=32A008853
- a(n) = Product_{j=0..5} floor((n+j)/6).at n=27A008881
- Powers of 20.at n=3A009964
- a(n) = 20^(2*n + 1).at n=1A013725
- a(n) = 20^(4*n + 3).at n=0A013813
- a(n) = 20^(5*n + 3).at n=0A013896
- a(n) = a(n-1) + a(n-4), starting 1,1,1,3.at n=28A014101
- Even cubes: a(n) = (2*n)^3.at n=10A016743
- a(n) = (3*n + 2)^3.at n=6A016791
- a(n) = (4*n)^3.at n=5A016803
- a(n) = (5*n)^3.at n=4A016851
- a(n) = (6*n + 2)^3.at n=3A016935