8190
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
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 26208
- Proper Divisor Sum (Aliquot Sum)
- 18018
- 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
- 1728
- Möbius Function
- 0
- Radical
- 2730
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 158
- 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
- a(n) = 2^n - 2.at n=13A000918
- Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer.at n=11A001599
- MacMahon's generalized sum of divisors function.at n=38A002127
- Octagonal pyramidal numbers: a(n) = n*(n+1)*(2*n-1)/2.at n=19A002414
- a(n) = 2^(2*n+1) - 2.at n=6A002446
- a(n) = 2*n*(2*n+1).at n=45A002943
- Nearest integer to 24*(2^n - 1)/n.at n=11A003138
- Integer part of 24(2^n-1)/n.at n=11A003176
- a(n) = ceiling(24(2^n-1)/n).at n=11A003177
- Unitary harmonic numbers (those for which the unitary harmonic mean is an integer).at n=11A006086
- Numbers whose divisors' harmonic and arithmetic means are both integers.at n=8A007340
- Expansion of Product (1 - x^k)^10 in powers of x.at n=37A010818
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=65A011914
- Number of Barlow packings with group P63/mmc(S) that repeat after 4n layers.at n=13A011946
- a(n) = 2*a(n-1) if n odd else 2*a(n-1) + 6.at n=11A014131
- Theta series of A_14 lattice.at n=2A023905
- Theta series of A*_14 lattice.at n=30A023926
- a(n) = (-1 + prime(n+1)^2)/4.at n=40A024701
- a(n) = T(n,n-3), where T is the array in A026374.at n=23A026382
- Number of aperiodic binary strings of length n; also number of binary sequences with primitive period n.at n=13A027375