The pattern seems to be the number of vowels in each number spelled out.

For 5883= four vowels in "five, eight, eight, three"
For 7618= three vowels in "seven, six, one, eight"
For 4303= one vowel in "four, three, zero, three"
For 6080= five vowels in "six, zero, eight, zero"
For 1542= no vowels in "one, five, four, two"

Therefore, for 5614, there are one vowel in the spelled out number "five, six, one, four"

Answer: 1