8206
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13464
- Proper Divisor Sum (Aliquot Sum)
- 5258
- 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
- 8206
- 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
- 158
- 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
- a(n) = 2^n + n + 1.at n=13A005126
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=14A020435
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=23A031816
- Numbers whose base-4 representation contains exactly four 0's and no 1's.at n=24A045033
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=23A045059
- a(n) = Sum_{d|n, d odd} d*2^(n/d - 1), a(0)=0.at n=14A054601
- Triangle T(n,k), n >= 1, giving number of prime unoriented alternating links with n crossings and k components.at n=46A059739
- a(n) = n*(n+1)*(3*n^2+n-1)/6.at n=11A103220
- Length of the n-th Zimin word (A082215(n)).at n=12A123121
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=43A179140
- Numbers n for which the Tate-Shafarevich group ("shah") of the elliptic curve y^2=x^3-n has the structure of a direct product 2x2x2x2.at n=1A179144
- Numbers 1 through 10000 sorted lexicographically in binary representation.at n=38A190126
- Second elementary symmetric function of the first n terms of (1,1,2,2,3,3,4,4,...).at n=20A203246
- 1/4 the number of (n+1) X 8 0..2 arrays with every 2 X 2 subblock having distinct clockwise edge differences.at n=24A209726
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210744; see the Formula section.at n=40A210743
- Let M(1)=0 and for n >= 2, let B(n)=M(ceiling(n/2))+M(floor(n/2))+2, M(n)=2^B(n)+M(floor(n/2))+1; sequence gives B(n).at n=6A230302
- Number of (n+1) X (3+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nonincreasing x(i,j)-x(i-1,j) in the j direction.at n=11A250737
- Number of length n 1..(1+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11.at n=22A254940
- Numbers n such that a digit of n to the power k plus the sum of the other digits of n equals n, where k is a positive integer.at n=14A257860
- Sum of the asymmetry degrees of all compositions of n with parts in {1,5}.at n=31A276065