6710
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 6682
- 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
- 2400
- Möbius Function
- 1
- Radical
- 6710
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 93
- 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
- Sum of Fermat coefficients.at n=11A000967
- Number of aperiodic binary necklaces of length n with no subsequence 00, excluding the necklace "0".at n=24A006206
- Coordination sequence for {A_4}* lattice.at n=11A008531
- (s(n)+s(n+1))/18, where s()=A006521.at n=19A016060
- Fibonacci sequence beginning 0, 11.at n=15A022345
- a(n) = (d(n)-r(n))/5, where d = A026057 and r is the periodic sequence with fundamental period (1,0,3,1,0).at n=51A026059
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 4. Also a(n) = T(n,n-2), where T is the array in A026323.at n=8A026327
- Square roots of sums of squares of divisors in A046655.at n=9A046656
- Number of orbits of length n under the map whose periodic points are counted by A001350.at n=24A060280
- Numbers k such that the period of the continued fraction for sqrt(5)*k is 2.at n=28A065030
- a(n) = n*(n - 1)*(n^2 + 1)/2.at n=11A071252
- Squarefree numbers having exactly three prime gaps.at n=32A073489
- Numbers having exactly three prime gaps in their factorization.at n=38A073495
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=22A080392
- a(n) = Sum_{k = 0..floor(n/2)} floor(C(n-k,k)/(k+1)).at n=22A095719
- First monotonically increasing sequence such that erasing the first and last digit of each term and concatenating what is left results in the concatenation of all terms of the sequence.at n=32A106004
- Convolution of A066983 with the double Fibonacci sequence A103609.at n=19A121364
- Numbers k such that the sum of the first k primes is prime and the sum of the squares of the first k primes is also prime.at n=29A124225
- Numbers k such that k^2 divides 9^k - 1.at n=26A127101
- a(n) = Sum_{1<=k<=n, gcd(k,n)=1}, A000217(k).at n=43A127415