1575
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Number
$1575$ (one thousand five hundred and seventy-five) is:
- $3^2 \times 5^2 \times 7$
- The $2$nd odd abundant number after $945$:
- $\map {\sigma_1} {1575} - 1575 = 1649 > 1575$
- With $1648$, an element of the $4$th quasiamicable pair:
- $\map {\sigma_1} {1575} = \map {\sigma_1} {1648} = 3224 = 1575 + 1648 + 1$
- The number of integer partitions for $24$:
- $\map p {24} = 1575$
- The $50$th Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $\ldots$, $1176$, $1184$, $1197$, $1212$, $1296$, $1311$, $1332$, $1344$, $1416$:
- $1575 = 9 \times 175 = 59 \times \paren {1 \times 5 \times 7 \times 5}$
Arithmetic Functions on $1575$
| \(\ds \map {\sigma_0} { 1575 }\) | \(=\) | \(\ds 18\) | $\sigma_0$ of $1575$ | |||||||||||
| \(\ds \map {\sigma_1} { 1575 }\) | \(=\) | \(\ds 3224\) | $\sigma_1$ of $1575$ |