8586
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 19602
- Proper Divisor Sum (Aliquot Sum)
- 11016
- 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
- 2808
- Möbius Function
- 0
- Radical
- 318
- 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
- 26
- 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
- Pair up the numbers.at n=42A030655
- Minimum area rectangle into which squares of sizes 1, 2, 3, ... n can be packed.at n=28A038666
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=34A045051
- House numbers (version 2): a(n) = (n+1)^3 + (n+1)*Sum_{i=0..n} i.at n=17A050509
- Numbers which contain exactly the same digits (with the correct multiplicity) in 3 different smaller bases.at n=14A059828
- Heights of peaks of more than 8000 meters (as of Sep 25 2001), in decreasing order.at n=2A064296
- Leading term of n-th row of A081491.at n=30A081490
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=43A098080
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5))^2.at n=19A117487
- Triangle read by rows: T[n, m] = Sum[m^3 - 3*m^2*k + 3*m*k^2 - k^3, {k, 0, n - 1}] + m^4.at n=54A121721
- Number of integer-sided hexagons having perimeter n.at n=29A124286
- Numbers n such that primorial(n)/2 - 128 is prime.at n=14A139450
- Triangle, read by rows, T(n, k) = 2*A123125(n-1, k), for n >= 2, otherwise T(n, 0) = T(n, n) = -1, with T(0, 0) = T(1, 0) = 1.at n=51A141591
- Triangle, read by rows, T(n, k) = 2*A123125(n-1, k), for n >= 2, otherwise T(n, 0) = T(n, n) = -1, with T(0, 0) = T(1, 0) = 1.at n=48A141591
- Triangle read by rows: T(n,k) = (2*k - n)*A008292(n,k) with T(n,n) = n, 0 <= k <= n, where A008292 is the triangle of Eulerian numbers.at n=41A141693
- Coefficients of the derivatives of the Eulerian polynomials (with indexing as in A173018).at n=22A142706
- Six times hexagonal numbers: 6*n*(2*n-1).at n=27A152746
- a(n+1) -+ a(n) = prime, a(n+1)*a(n) = average of twin prime pairs, a(1)=1, a(2)=6.at n=29A154494
- a(n) = (n^5 - 5*n^4 + 5*n^3 + 5*n^2 + 114*n + 120)/120.at n=17A161701
- Demi-tribonacci numbers (rounding down): a(0)=a(1)=0, a(2)=2; a(n) = floor( (a(n-1)+a(n-2)+a(n-3))/2 ).at n=47A180234