Radical of Integer/Sequence
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Sequence of Radicals of Integers
The sequence of radicals of the integers beings:
| $n$ | Decomposition | $\map \Rad n$ |
|---|---|---|
| $1$ | $1$ | $1$ |
| $2$ | $2$ | $2$ |
| $3$ | $3$ | $3$ |
| $4$ | $2^2$ | $2$ |
| $5$ | $5$ | $5$ |
| $6$ | $2 \times 3$ | $6$ |
| $7$ | $7$ | $7$ |
| $8$ | $2^3$ | $2$ |
| $9$ | $3^2$ | $3$ |
| $10$ | $2 \times 5$ | $10$ |
| $11$ | $11$ | $11$ |
| $12$ | $2^2 \times 3$ | $6$ |
| $13$ | $13$ | $13$ |
| $14$ | $2 \times 7$ | $14$ |
| $15$ | $3 \times 5$ | $15$ |
| $16$ | $2^4$ | $2$ |
This sequence is A007947 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).