Is there a name for a composite number which contains a factor as a substring?
0
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For example, the number 2231 has factors 23 and 97, and 23 is a substring of 2231. Is there a name for this type of number?
number-theory
asked Dec 28 '18 at 14:41
CerCer
1
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add a comment |
0
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For example, the number 2231 has factors 23 and 97, and 23 is a substring of 2231. Is there a name for this type of number?
number-theory
asked Dec 28 '18 at 14:41
CerCer
1
$endgroup$
2
$begingroup$
You can try and plug the first several numbers of this type into OEIS and see what you get. I would guess you'll come up with nothing because factors are significant to a number independent of what base it is written in but these substrings are relative to base.
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– Mason
Dec 28 '18 at 14:48
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Any positive integer is a factor and a substring of itself. Do you mean proper factor?
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– Robert Israel
Dec 28 '18 at 14:49
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There are some related oeis. oeis.org/A002796. In general, we don't have names for every sequence because there are many sequences of interest.
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– Mason
Dec 28 '18 at 15:00
$begingroup$
See also A038770.
$endgroup$
– Robert Israel
Dec 28 '18 at 15:10
add a comment |
0
0
0
1
$begingroup$
For example, the number 2231 has factors 23 and 97, and 23 is a substring of 2231. Is there a name for this type of number?
number-theory
asked Dec 28 '18 at 14:41
CerCer
1
$endgroup$
For example, the number 2231 has factors 23 and 97, and 23 is a substring of 2231. Is there a name for this type of number?
number-theory
number-theory
asked Dec 28 '18 at 14:41
CerCer
1
asked Dec 28 '18 at 14:41
CerCer
1
asked Dec 28 '18 at 14:41
CerCer
1
asked Dec 28 '18 at 14:41
CerCer
1
asked Dec 28 '18 at 14:41
CerCer
1
1
2
$begingroup$
You can try and plug the first several numbers of this type into OEIS and see what you get. I would guess you'll come up with nothing because factors are significant to a number independent of what base it is written in but these substrings are relative to base.
$endgroup$
– Mason
Dec 28 '18 at 14:48
$begingroup$
Any positive integer is a factor and a substring of itself. Do you mean proper factor?
$endgroup$
– Robert Israel
Dec 28 '18 at 14:49
$begingroup$
There are some related oeis. oeis.org/A002796. In general, we don't have names for every sequence because there are many sequences of interest.
$endgroup$
– Mason
Dec 28 '18 at 15:00
$begingroup$
See also A038770.
$endgroup$
– Robert Israel
Dec 28 '18 at 15:10
add a comment |
2
$begingroup$
You can try and plug the first several numbers of this type into OEIS and see what you get. I would guess you'll come up with nothing because factors are significant to a number independent of what base it is written in but these substrings are relative to base.
$endgroup$
– Mason
Dec 28 '18 at 14:48
$begingroup$
Any positive integer is a factor and a substring of itself. Do you mean proper factor?
$endgroup$
– Robert Israel
Dec 28 '18 at 14:49
$begingroup$
There are some related oeis. oeis.org/A002796. In general, we don't have names for every sequence because there are many sequences of interest.
$endgroup$
– Mason
Dec 28 '18 at 15:00
$begingroup$
See also A038770.
$endgroup$
– Robert Israel
Dec 28 '18 at 15:10
2
2
$begingroup$
You can try and plug the first several numbers of this type into OEIS and see what you get. I would guess you'll come up with nothing because factors are significant to a number independent of what base it is written in but these substrings are relative to base.
$endgroup$
– Mason
Dec 28 '18 at 14:48
$begingroup$
You can try and plug the first several numbers of this type into OEIS and see what you get. I would guess you'll come up with nothing because factors are significant to a number independent of what base it is written in but these substrings are relative to base.
$endgroup$
– Mason
Dec 28 '18 at 14:48
$begingroup$
Any positive integer is a factor and a substring of itself. Do you mean proper factor?
$endgroup$
– Robert Israel
Dec 28 '18 at 14:49
$begingroup$
Any positive integer is a factor and a substring of itself. Do you mean proper factor?
$endgroup$
– Robert Israel
Dec 28 '18 at 14:49
$begingroup$
There are some related oeis. oeis.org/A002796. In general, we don't have names for every sequence because there are many sequences of interest.
$endgroup$
– Mason
Dec 28 '18 at 15:00
$begingroup$
There are some related oeis. oeis.org/A002796. In general, we don't have names for every sequence because there are many sequences of interest.
$endgroup$
– Mason
Dec 28 '18 at 15:00
$begingroup$
See also A038770.
$endgroup$
– Robert Israel
Dec 28 '18 at 15:10
$begingroup$
See also A038770.
$endgroup$
– Robert Israel
Dec 28 '18 at 15:10
add a comment |
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2
$begingroup$
You can try and plug the first several numbers of this type into OEIS and see what you get. I would guess you'll come up with nothing because factors are significant to a number independent of what base it is written in but these substrings are relative to base.
$endgroup$
– Mason
Dec 28 '18 at 14:48
$begingroup$
Any positive integer is a factor and a substring of itself. Do you mean proper factor?
$endgroup$
– Robert Israel
Dec 28 '18 at 14:49
$begingroup$
There are some related oeis. oeis.org/A002796. In general, we don't have names for every sequence because there are many sequences of interest.
$endgroup$
– Mason
Dec 28 '18 at 15:00
$begingroup$
See also A038770.
$endgroup$
– Robert Israel
Dec 28 '18 at 15:10