It is the smallest integer (greater than zero) with n syllables in the English language:
"One" has 1 syllable.
"Seven" has 2 syllables.
"Eleven" has 3 syllables.
"Twenty-seven" has 4 syllables.
"Seventy-seven" has 5 syllables.
"One hundred and seven" has 6 syllables.
"One hundred and eleven" has 7 syllables.
"One hundred and twenty-seven" has 8 syllables.