6200
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
- 24
- Divisor Sum
- 14880
- Proper Divisor Sum (Aliquot Sum)
- 8680
- 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
- 310
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 155
- 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
- Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer.at n=9A001599
- Figure 8's with 2n edges on the square lattice.at n=5A003305
- Theta series of D_5 lattice.at n=36A005930
- Numbers whose divisors' harmonic and arithmetic means are both integers.at n=7A007340
- Coordination sequence for net formed by holes in D_4 lattice.at n=8A010079
- Number of lines through exactly 8 points of an n X n grid of points.at n=56A018815
- Number of 2's in n-th term of A022470.at n=34A022473
- Harmonic seed numbers.at n=7A035527
- Number of partitions of n in which no parts are multiples of 5.at n=34A035959
- Number of sublattices of index n in generic 4-dimensional lattice.at n=11A038991
- Base-9 palindromes that start with 8.at n=15A043035
- Numbers k that divide sigma(k) * phi(k) and are not divisible by 6.at n=32A047630
- Numbers k such that k | sigma_5(k).at n=34A055709
- Numbers k such that (k, sigma(k)) lies on a circle with integral radius centered at the origin, i.e., k^2 + sigma(k)^2 is a square.at n=16A066764
- Numbers k such that gcd(sigma(k),k) = k/5.at n=11A067237
- Multiples of 8 with digit sum 8.at n=23A069543
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=21A084804
- Duplicate of A007340.at n=7A090944
- Harmonic numbers (A001599) which are not perfect (A000396).at n=6A090945
- a(n) = smallest number m such that m*tau(m)/sigma(m) = n, or 0 if no such m exists.at n=9A091911