Superabundant Number/Examples

Examples of Superabundant Numbers

4

The abundancy index of $4$ is:

$\dfrac {\map {\sigma_1} 4} 4 = \dfrac 7 4 = 1 \cdotp 75$

6

The abundancy index of $6$ is:

$\dfrac {\map {\sigma_1} 6} 6 = \dfrac {12} 6 = 2$

12

The abundancy index of $12$ is:

$\dfrac {\map {\sigma_1} {12} } {12} = \dfrac {28} {12} = 2 \cdotp \dot 3$

24

The abundancy index of $24$ is:

$\dfrac {\map {\sigma_1} {24} } {24} = \dfrac {60} {24} = 2 \cdotp 5$

36

The abundancy index of $36$ is:

$\dfrac {\map {\sigma_1} {36} } {36} = \dfrac {91} {36} = 2 \cdotp 52 \dot 7$

48

The abundancy index of $48$ is:

$\dfrac {\map {\sigma_1} {48} } {48} = \dfrac {124} {48} = 2 \cdotp 58 \dot 3$

60

The abundancy index of $60$ is:

$\dfrac {\map {\sigma_1} {60} } {60} = \dfrac {168} {60} = 2 \cdotp 8$

120

The abundancy index of $120$ is:

$\dfrac {\map {\sigma_1} {120} } {120} = \dfrac {360} {120} = 3$

180

The abundancy index of $180$ is:

$\dfrac {\map {\sigma_1} {180} } {180} = \dfrac {546} {180} = 3 \cdotp 0 \dot 3$

240

The abundancy index of $240$ is:

$\dfrac {\map {\sigma_1} {240} } {240} = \dfrac {744} {240} = 3 \cdotp 1$