what is mean by vampire number
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HEYA!!!
HERE IS YOUR ANSWER,
→ VAMPIRE NUMBER :
A Vampire Number in Maths is a composite natural number "v", with an even number of digits "n", that can be factored by two integers "x" and "y" each with "n/2" digits and not both with trailing zeroes, where "v" contains precisely all the digits from "x" and "y", in any order, counting multiplicity.
>> EXAMPLE :
→ 1260 is a vampire number, with 21 and 60 as fangs, since 21 × 60 = 1260.
→ 126000 (which can be expressed as 21 × 6000 or 210 × 600) is not, as 21 and 6000 do not have the correct length, and both 210 and 600 have trailing zeroes.
HERE IS YOUR ANSWER,
→ VAMPIRE NUMBER :
A Vampire Number in Maths is a composite natural number "v", with an even number of digits "n", that can be factored by two integers "x" and "y" each with "n/2" digits and not both with trailing zeroes, where "v" contains precisely all the digits from "x" and "y", in any order, counting multiplicity.
>> EXAMPLE :
→ 1260 is a vampire number, with 21 and 60 as fangs, since 21 × 60 = 1260.
→ 126000 (which can be expressed as 21 × 6000 or 210 × 600) is not, as 21 and 6000 do not have the correct length, and both 210 and 600 have trailing zeroes.
THEREFORE,
The vampire numbers are:
1260, 1395, 1435, 1530, 1827, 2187, 6880, 102510, 104260, 105210, 105264, 105750, 108135, 110758, 115672, 116725, 117067, 118440, 120600, 123354, 124483, 125248, 125433, 125460, 125500, …
HOPE IT HELPS YOU,
THANK YOU.
Answered by
1
Answer:
In number theory, a vampire number (or true vampire number) is a composite natural number with an even number of digits, that can be factored into two natural numbers each with half as many digits as the original number and not both with trailing zeroes, where the two factors contain precisely all the digits of the original number, in any order, counting multiplicity. The first vampire number is 1260 = 21 × 60.
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