5985
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Number
$5985$ (five thousand, nine hundred and eighty-five) is:
- $3^2 \times 5 \times 7 \times 19$
- The $10$th odd abundant number after $945$, $1575$, $2205$, $2835$, $3465$, $4095$, $4725$, $5355$, $5775$:
- $\map {\sigma_1} {5985} - 5985 = 6495 > 5985$
- The $45$th octagonal number, after $1$, $8$, $21$, $40$, $65$, $\ldots$, $3816$, $4033$, $4256$, $4485$, $4720$, $4961$, $5208$, $5461$, $5720$:
- $5985 = \ds \sum_{k \mathop = 1}^{45} \paren {6 k - 5} = 45 \paren {3 \times 45 - 2}$
Arithmetic Functions on $5985$
| \(\ds \map {\sigma_1} { 5985 }\) | \(=\) | \(\ds 12 \, 480\) | $\sigma_1$ of $5985$ |