8086
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 5018
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3720
- Möbius Function
- -1
- Radical
- 8086
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 26
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Expansion of 1/((1+x)*(1-x)^5).at n=22A001752
- a(n) = n*(n + 1)*(2*n^2 + 2*n - 1)/6.at n=11A006324
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A000201 (lower Wythoff sequence).at n=21A024593
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A000201 (lower Wythoff sequence).at n=20A025107
- Expansion of 1/((1-5x)(1-6x)(1-7x)(1-11x)).at n=3A028168
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=15A031828
- Row 6 of array in A047666.at n=6A047670
- Numbers n such that 155*2^n-1 is prime.at n=15A050619
- Triangle of Stirling numbers of order 3.at n=27A059022
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=31A063358
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=29A063372
- Diagonal of triangular spiral in A051682.at n=42A081267
- Row sums of correlation triangle for floor((n+4)/4).at n=44A115269
- Fifth column (m=4) of triangle A128494.at n=44A128499
- Fifth column (m=4) of triangle A128494.at n=45A128499
- a(n) = 7*n^2 + 14*n + 1.at n=33A131878
- a(n) = 1 + (1200 + (634 + (225 + (85 + (15 + n)*n)*n)*n)*n)*n/720.at n=11A145128
- Triangle T(n,k) = Sum_{i=1..n} 2^(i-1)*C(n+2*k-i-1, k-1), 1 <= k <= n.at n=38A185139
- Irregular triangle T(n,k) (n >= 1, k >= 1) read by rows: T(n,1) = 2^n - 1; for k>1, T(n,k) = 0 for n <= 2*(k-1); otherwise T(n+1,k) = T(n,k-1) + T(n,k).at n=44A201385
- Number of standard Young tableaux of n cells and height >= 10.at n=4A218262