Even Integer with Abundancy Index greater than 9/Mistake

Source Work

 * The Dictionary
 * $55$
 * $55$

Mistake

 * Every even number $n$ whose abundancy index, defined to equal $\map \sigma n / n$, is greater than $9$, has at least $55$ distinct prime factors.

Correction
The author appears to have confused the numbers of distinct prime factors for abundancy indices over $9$ and $10$.

The correct statements are:


 * Every even number $n$ whose abundancy index ... is greater than $9$, has at least $35$ distinct prime factors

and:


 * Every even number $n$ whose abundancy index ... is greater than $10$, has at least $55$ distinct prime factors.