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A074849 4-infinitary perfect numbers: n such that 4-infinitary-sigma(n)=2*n. 3
6, 28, 36720, 222768, 12646368, 5154170112, 34725010231296 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Here 4-infinitary-sigma(a) means sum of 4-infinitary-divisor of a. If n=Product p(i)^r(i) and d=Product p(i)^s(i), each s(i) has a digit a<=b in its 4-ary expansion everywhere that the corresponding r(i) has a digit b, then d is a 4-infinitary-divisor of n.
LINKS
FORMULA
{n: A074847(n) = 2*n}. - R. J. Mathar, Mar 13 2024
EXAMPLE
Factorizations: 2*3, 2^2*7, 2^4*3^3*5*17, 2^4*3^2*7*13*17, 2^5*3^4*7*17*41, 2^8*3^2*7*13^2*31*61, 2^12*3^5*7*11*41*43*257.
CROSSREFS
Cf. A074847.
Sequence in context: A154895 A330163 A276493 * A189373 A156927 A178366
KEYWORD
nonn,changed
AUTHOR
Yasutoshi Kohmoto, Sep 10 2002
STATUS
approved

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Last modified March 28 21:56 EDT 2024. Contains 371254 sequences. (Running on oeis4.)