55 (number) explained

Number:55
Divisor:1, 5, 11, 55

55 (fifty-five) is the natural number following 54 and preceding 56.

Mathematics

55 is the fifteenth discrete semiprime,[1] 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.[2] It is the largest Fibonacci number to also be a triangular number (the tenth as well);[3] it is furthermore the fourth doubly triangular number.[4]

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,[5] and the third centered icosahedral number.[6]

In decimal, 55 is a Kaprekar number,[7] 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).

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Other uses

See also

Notes and References

  1. 2023-11-04 .
  2. Web site: Sloane's A000045 : Fibonacci numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-30.
  3. 2023-11-06 .
  4. Web site: Sloane's A000217 : Triangular numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-30.
  5. Web site: Sloane's A060544 : Centered 9-gonal (also known as nonagonal or enneagonal) numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-30.
  6. 2023-12-29 .
  7. Web site: Sloane's A006886 : Kaprekar numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2016-05-30.