45,045

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Number

$45 \, 045$ (forty-five thousand and forty-five) is:

$3^2 \times 5 \times 7 \times 11 \times 13$

Arithmetic Functions on $45 \, 045$

\(\ds \map {\sigma_1} { 45 \, 045 }\)

\(=\)

\(\ds 104 \, 832\)

$\sigma_1$ of $45 \, 045$

Historical Note

$45 \, 045$ was the first odd abundant number discovered.

It was Charles de Bouvelles who made that discovery.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $45,045$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $45,045$