# 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 $\map \sigma n$ for any $n$:
- $\tuple {145, 146, 147, 148, 149}$

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

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

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

- 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.

## Also see

*Previous ... Next*: Representation of 1 as Sum of n Unit Fractions*Previous ... Next*: Pairs of Consecutive Integers with 6 Divisors*Previous ... Next*: Numbers of Zeroes that Factorial does not end with*Previous ... Next*: Numbers not Expressible as Sum of Distinct Pentagonal Numbers*Previous ... Next*: Quintuplets of Consecutive Integers which are not Sigma Values

## Sources

- 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $147$