147

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Number

$147$ (one hundred and forty-seven) is:

$3 \times 7^2$


The $3$rd term of the $3$rd $5$-tuple of consecutive integers have the property that they are not values of the $\sigma$ function $\sigma \left({n}\right)$ for any $n$:
$\left({145, 146, 147, 148, 149}\right)$


The $1$st of the $5$th pair of consecutive integers which both have $6$ divisors:
$\tau \left({147}\right) = \tau \left({148}\right) = 6$


The $60$th positive integer after $2$, $3$, $4$, $7$, $8$, $\ldots$, $95$, $96$, $100$, $101$, $102$, $107$, $112$, $116$, $124$, $136$, $137$, $141$, $142$ which cannot be expressed as the sum of distinct pentagonal numbers.


The number of different representations of $1$ as the sum of $5$ unit fractions.


The $28$th positive integer $n$ such that no factorial of an integer can end with $n$ zeroes.


Also see


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