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Index entries for number of divisors
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A000005 gives the number of divisors (see also divisor function).
The following table lists sequences defined by numbers having a specific number of divisors.
A-number | Description | |
---|---|---|
1 | The unit 1 | |
A000040 | 2 | Prime numbers |
A001248 | 3 | Squares of primes |
A030513 | 4 | Squarefree semiprimes and cubes of primes |
A030514 | 5 | Fourth powers of primes |
A030515 | 6 | Fifth powers of primes are a subset |
A030516 | 7 | Sixth powers of primes |
A030626 | 8 | Sphenic numbers are a subset |
A030627 | 9 | Eighth powers of primes are a subset |
A030628 | 10 | |
A030629 | 11 | Tenth powers of primes |
A030630 | 12 | |
A030631 | 13 | Twelfth powers of primes |
A030632 | 14 | |
A030633 | 15 | |
A030634 | 16 | |
A030635 | 17 | Sixteenth powers of primes |
A030636 | 18 | |
A030637 | 19 | Eighteenth powers of primes |
A030638 | 20 | |
A137484 | 21 | |
A137485 | 22 | |
A137486 | 23 | Twenty-second powers of primes |
A137487 | 24 | |
A137488 | 25 | |
A137489 | 26 | |
A137490 | 27 | |
A137491 | 28 | |
A137492 | 29 | Twenty-eighth powers of primes |
A137493 | 30 | |
A139571 | 31 | Thirtieth powers of primes |
A175742 | 32 | |
A175743 | 33 | |
A175744 | 34 | |
A175745 | 35 | |
A175746 | 36 | |
A139572 | 37 | Thirty-sixth powers of primes |
A175747 | 38 | |
A175748 | 39 | |
A175749 | 40 | |
A139573 | 41 | Fortieth powers of primes |
A175750 | 42 | |
A139574 | 43 | Forty-second powers of primes |
A175751 | 44 | |
A175752 | 45 | |
A175753 | 46 | |
A139575 | 47 | Forty-sixth powers of primes |
A175754 | 48 | |
A175755 | 49 | |
A175756 | 50 | |
51 | ||
52 | ||
A173533 | 53 | Fifty-second powers of primes |