A066424 - OEIS

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A066424

The n-digit number whose divisors have the maximal sum (A066410).

8, 96, 960, 9240, 98280, 997920, 9979200, 99459360, 994593600, 9777287520, 97772875200, 995886571680, 9958865716800, 99588657168000, 998456601542400, 9948906851083200, 98930408269492800, 994651672331116800, 9946516723311168000, 99796717790555385600 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,1`
	LINKS	`Table of n, a(n) for n=0..19.`
	EXAMPLE	`960 is the 3-digit number the sum of whose divisors (3048) is largest.`
	MAPLE	`with(numtheory): P:=proc(q) local a, b, k, n; for k from 0 to q do` `a:=0; b:=0; for n from 10^k to 10^(k+1)-1 do` `if sigma(n)>a then a:=sigma(n); b:=n; fi; od;` `print(b); od; end: P(10^9); # Paolo P. Lava, Mar 28 2017`
	CROSSREFS	`Cf. A066410.` `Sequence in context: A116144 A074114 A069650 * A276593 A099675 A211345` `Adjacent sequences: A066421 A066422 A066423 * A066425 A066426 A066427`
	KEYWORD	`nonn,base`
	AUTHOR	`Harvey P. Dale, Dec 26 2001`
	EXTENSIONS	`Corrected and extended by Vladeta Jovovic, Dec 29 2001`
	STATUS	`approved`

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Last modified March 29 22:15 EDT 2023. Contains 361599 sequences. (Running on oeis4.)