[go: up one dir, main page]

login
A354073
Multiply-perfect numbers that are the sum of the divisors of some number.
3
1, 6, 28, 120, 496, 672, 30240, 32760, 523776, 2178540, 23569920, 33550336, 45532800, 142990848, 459818240, 1379454720, 1476304896, 8589869056, 14182439040, 31998395520, 43861478400, 51001180160, 66433720320, 137438691328, 153003540480, 403031236608, 518666803200
OFFSET
1,2
COMMENTS
Conjecture: 8128 is only multiply-perfect number that is not in this sequence.
The distinct values of A000203(A066961(n)).
LINKS
EXAMPLE
The multiply-perfect number 28 is in the sequence because 28 = sigma(12).
PROG
(Magma) Set(Sort([&+Divisors(m): m in [1..10^7] | IsIntegral(&+Divisors(&+Divisors(m)) / &+Divisors(m))]))
CROSSREFS
Intersection of A007691 and A002191.
Sequence in context: A334410 A065997 A348035 * A171476 A171496 A006516
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, May 16 2022
EXTENSIONS
a(18)-a(27) from Amiram Eldar, May 12 2024
STATUS
approved