6682
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10836
- Proper Divisor Sum (Aliquot Sum)
- 4154
- 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
- 3072
- Möbius Function
- -1
- Radical
- 6682
- 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
- 137
- 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
- Even heptagonal numbers (A000566).at n=26A014640
- Numbers k such that the continued fraction for sqrt(k) has period 15.at n=31A020354
- Expansion of g.f. 1/((1-x)*(1-6*x)*(1-7*x)*(1-12*x)).at n=3A023953
- Least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 4th elementary symmetric function.at n=14A027918
- Sums of 6 distinct powers of 3.at n=28A038468
- Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(2,5) and cn(0,5) <= cn(4,5) + cn(2,5) and cn(0,5) <= cn(1,5) + cn(3,5) and cn(0,5) <= cn(4,5) + cn(3,5).at n=32A039843
- Periods associated with A040017.at n=54A051627
- Numbers k such that k^512 + 1 is prime.at n=21A057465
- Consider the version of the Collatz or 3x+1 problem where x -> x/2 if x is even, x -> (3x+1)/2 if x is odd. Define the stopping time of x to be the number of steps needed to reach 1. Sequence gives the number of integers x with stopping time n.at n=32A060322
- Least number k such that k has n anti-divisors.at n=31A066464
- Number of ways to write n as the arithmetic mean of a set of distinct primes.at n=26A072701
- Number of isomorphism classes of associative non-commutative closed binary operations on a set of order n, listed by class size.at n=60A079200
- Number of isomorphism classes of associative non-commutative non-anti-associative non-anti-commutative closed binary operations on a set of order n, listed by class size.at n=60A079207
- Main diagonal of A082228.at n=41A082231
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=31A098499
- Indices of primes in sequence defined by A(0) = 37, A(n) = 10*A(n-1) - 23 for n > 0.at n=7A101833
- Triangular matchstick numbers in the class of prime numbers: sum of n-th and next n primes.at n=30A105720
- Heptagonal numbers with only even digits.at n=3A117994
- a(n) = 2 + floor((1 + Sum_{j=1..n-1} a(j))/3).at n=28A120149
- Antidiagonal sums of square array A124389.at n=13A124390