7339
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
- 4
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 221
- 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
- 7120
- Möbius Function
- 1
- Radical
- 7339
- 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
- 194
- Smith Number
- yes
- 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
- A Fielder sequence.at n=13A001645
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=11A015992
- a(n) = (d(n)-r(n))/2, where d = A026057 and r is the periodic sequence with fundamental period (0,0,1,0).at n=37A026058
- Number of T-frame polyominoes with n cells.at n=47A028247
- 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 85.at n=10A031583
- a(n) = n * prime(n).at n=40A033286
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=21A039664
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=10A065216
- a(n) = prime(n) * prime(prime(n)).at n=12A073065
- Record-setting differences between adjacent elements of the Mian-Chowla sequence A005282.at n=33A080222
- Product of twin-prime-indexed primes and their lower bound twin prime.at n=5A080698
- Leading diagonal of A083173.at n=40A083174
- a(n)= 7*a(n-1) +5*a(n-2) -35*a(n-3) +7*a(n-4) +5*a(n-5) -a(n-6), n>10.at n=8A107477
- Start with 1 and repeatedly reverse the digits and add 38 to get the next term.at n=6A118634
- Number of n-celled polyominoes with perimeter < 2n+2.at n=10A135942
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 101-111-010 pattern in any orientation.at n=9A146223
- a(n) = 9*n^2 - 8*n + 2.at n=29A154254
- Smith numbers of order 2.at n=34A174460
- Number of (w,x,y) with all terms in {0,...,n} and w != max(|w-x|,|x-y|,|y-w|).at n=19A213498
- a(n) is the position of the last two-tuple within the reverse lexicographic set of partitions of 2n and 2n+1, with a(1)-a(n) representing the positions of every 2-tuple partition of 2n and 2n+1.at n=24A216053