55 (fifty-five) is the natural number following 54 and preceding 56.
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Cardinal | fifty-five | |||
Ordinal | 55th (fifty-fifth) | |||
Factorization | 5 × 11 | |||
Divisors | 1, 5, 11, 55 | |||
Greek numeral | ΝΕ´ | |||
Roman numeral | LV | |||
Binary | 1101112 | |||
Ternary | 20013 | |||
Senary | 1316 | |||
Octal | 678 | |||
Duodecimal | 4712 | |||
Hexadecimal | 3716 |
55 is the fifteenth discrete semiprime, and the second with 5 as the lowest non-unitary factor. Thus, of the form 5 × q with q a higher prime, in this case equal to 11.
It contains an aliquot sum of 17; the seventh prime number, within an aliquot sequence of one composite number (55, 17, 1, 0) that is rooted in the 17-aliquot tree.
55 is the tenth Fibonacci number. It is the largest Fibonacci number to also be a triangular number (the tenth as well); it is furthermore the fourth doubly triangular number.
55 is also an early member inside other families of polygonal numbers; it is strictly (when including 0 as the zeroth indexed member) the fifth:
It is also the fourth centered nonagonal number, and the third centered icosahedral number.
In decimal, 55 is a Kaprekar number, whose digit sum is also 10. It is the first number to be a sum of more than one pair of numbers which mirror each other (23 + 32 and 14 + 41).
The prime indices in the prime factorization of are the respectively the third and fifth, where the first two Fermat primes of the form are and (11 is also the third super-prime). Where 17 — the aliquot part of 55 — is the third Fermat prime, the fifty-fifth prime number 257 is the fourth such prime number. The base-ten digit representation of the latter satisfies a subtractive concatenation of , wherein 77 is the fifty-fifth composite number. In decimal representation, the fifth and largest known Fermat prime is 65537, which contains a "55" string inside (and where as a number, 637 is the eleventh non-trivial decagonal number).
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