7341
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9792
- Proper Divisor Sum (Aliquot Sum)
- 2451
- 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
- 4892
- Möbius Function
- 1
- Radical
- 7341
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 132
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Fibonacci sequence beginning 4, 17.at n=14A022134
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023531, t = (Lucas numbers).at n=18A024319
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023531, t = (Lucas numbers).at n=17A024882
- a(n) = floor(3rd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=12A025213
- 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 56.at n=31A031554
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=14A031820
- a(n) = A047881(n) / 2.at n=33A047882
- Numbers k such that k(3k-2) is an octagonal palindrome.at n=6A057106
- a(n) = Sum_{d|n} d*prime(d).at n=40A061150
- a(n) is the unique positive integer m which has a self-conjugate partition whose parts are the first n primes.at n=33A067773
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an isosceles integer triangle with integer area.at n=22A070145
- Numbers k such that [A070080(k), A070081(k), A070082(k)] is an obtuse integer triangle with integer area.at n=37A070147
- Numbers n such that n and the n-th prime have the same digits.at n=19A074350
- Number of compositions of n where the largest part is less than or equal to the number of parts.at n=14A077229
- Diagonal of triangular spiral in A051682.at n=40A081267
- Number of 2's in n-th "Kolakoski" string defined in A054349.at n=22A111123
- Start with 1 and repeatedly reverse the digits and add 35 to get the next term.at n=13A118632
- Numbers n such that A064168(n) is prime.at n=60A123538
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=2,a(2)=9.at n=33A154495
- Powers of sqrt(5) - 1 rounded down.at n=41A179241