6086
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9720
- Proper Divisor Sum (Aliquot Sum)
- 3634
- 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
- 2848
- Möbius Function
- -1
- Radical
- 6086
- 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
- 111
- 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
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=39A005899
- a(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=26A010002
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=9A025513
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 78.at n=0A031576
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 78.at n=1A031756
- Number of partitions of n into parts 3k or 3k+2.at n=52A035361
- Number of partitions in parts not of the form 19k, 19k+3 or 19k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=34A035972
- Number of rooted trees with n nodes and 5 leaves.at n=8A055280
- Row sums of A075652.at n=16A075650
- Least nontrivial multiple of the n-th prime beginning with 6.at n=40A078290
- G.f. A(x) defined by: A(x)^2 consists entirely of integer coefficients between 1 and 2 (A083952); A(x) is the unique power series solution with A(0)=1.at n=23A084202
- Total number of palindromic primes in base 7 below 7^n.at n=10A117783
- Total number of palindromic primes in base 7 below 7^n.at n=11A117783
- G.f. satisfies: A(x) = 1/(1-x) * A(x^2)*A(x^3)*A(x^4)*...*A(x^n)*...at n=23A129374
- The q-exponential of x, e_q(x,q), evaluated at q = -x.at n=19A152398
- Triangle read by rows: T(n,k) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (m*n-m*k+1)*T(n-1,k-1) + (m*k-m+1)*T(n-1,k), where m = 8.at n=12A167884
- Numbers n such that there is no triangular n-gonal number greater than 1.at n=19A188892
- Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order.at n=2A204964
- Number of (n+2)X5 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order.at n=0A204966
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order.at n=3A204971