Triperfect number

A triperfect number is a positive integer n such that the sum of its divisors is equal to 3 times n.

The sequence of triperfect numbers begins:

120,672,523776,459818240,1476304896,51001180160

These are all the triperfect numbers that are currently known.

Examples: 120 is triperfect:

σ(120)=360=3×120

672 is triperfect:

σ(672)=2016=3×672

523776 is triperfect:

σ(523776)=1571328=3×523776

#NumberTheory

Easy Math Editor

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Comments

This is nice!!!! So, generalizing this, do there exist any "polyperfect" numbers..........??

Aaghaz Mahajan - 2 years, 4 months ago

Yes

chakravarthy b - 2 years, 4 months ago

Not poly, they are multi perfect numbers

chakravarthy b - 2 years, 4 months ago

https://en.m.wikipedia.org/wiki/Multiplyperfectnumber

chakravarthy b - 2 years, 4 months ago

Oohhhhh!!! This is soo cool!!! Thanks for this info!!!
P.S. to send the link in a concise manner, you can [Write link text] (enter link here).............Like This.......... Just, there should be no space between the square and the curve bracket......

Aaghaz Mahajan - 2 years, 4 months ago

@Aaghaz Mahajan – ok

chakravarthy b - 2 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$