# 1184

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## Number

$1184$ (one thousand, one hundred and eighty-four) is:

$2^5 \times 37$

The $15$th primitive abundant number after $20$, $70$, $88$, $104$, $272$, $304$, $368$, $464$, $550$, $572$, $650$, $748$, $836$, $945$:
$1 + 2 + 4 + 8 + 16 + 32 + 37 + 74 + 148 + 296 + 592 = 1210 > 1184$

The $20$th primitive semiperfect number after $6$, $20$, $28$, $88$, $104$, $272$, $304$, $350$, $368$, $464$, $490$, $496$, $550$, $572$, $650$, $748$, $770$, $910$, $945$:
$1184 = 1 + 4 + 32 + 37 + 74 + 148 + 296 + 592$

The $42$nd Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $\ldots$, $1111$, $1112$, $1113$, $1115$, $1116$, $1131$, $1176$:
$1184 = 37 \times 32 = 37 \times \paren {1 \times 1 \times 8 \times 4}$

The smaller of the $2$nd amicable pair, with $1210$:
$\map \sigma {1184} = \map \sigma {1210} = 2394 = 1184 + 1210$

### Arithmetic Functions on $1184$

 $\displaystyle \map \tau { 1184 }$ $=$ $\displaystyle 12$ $\tau$ of $1184$ $\displaystyle \map \sigma { 1184 }$ $=$ $\displaystyle 2394$ $\sigma$ of $1184$