994

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Number

$994$ (nine hundred and ninety-four) is:

$2 \times 7 \times 71$

The $12$th positive integer after $1$, $7$, $102$, $110$, $142$, $159$, $187$, $381$, $690$, $714$, $770$ the sum of whose divisors is a cube:

$\map {\sigma_1} {994} = 1728 = 12^3$

The $209$th nontotient after $992$:

$\nexists m \in \Z_{>0}: \map \phi m = 994$

where $\map \phi m$ denotes the Euler $\phi$ function

Arithmetic Functions on $994$

\(\ds \map {\sigma_1} { 994 }\)

\(=\)

\(\ds 1728\)

$\sigma_1$ of $994$

Also see

• Previous  ... Next: Integers whose Divisor Sum is Cube
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