7744

{{about|the integer|the year 7744|8th millennium}}

{{Infobox number

| number = 7744

| roman = {{overline|V}}MMDCCXLIV, or {{overline|VII}}DCCXLIV

| divisor = 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1,936, 3,872

}}

7744 is the natural number following 7743 and preceding 7745.

In mathematics

7744 is:

  • the square of 88, and is the smallest nonzero square each of whose decimal digits occur exactly twice.{{Cite OEIS|A052070|name=Smallest squares whose digits occur with the same frequency n}}
  • the sum of two fifth powers: 7744 = 65 + (−2)5.{{Cite OEIS|A020896|name=Positive numbers n such that n = x^5 + y^5 has a solution in nonzero integers x, y}}
  • a Harshad number in bases 5, 9, 10, 12, 14 and 15.
  • the aliquot sum of both 10316 and 15482.
  • part of the 29-aliquot tree.

The complete aliquot sequence starting at 7716 is: 7716, 10316, 7744, 9147, 3053, 115, 29, 1, 0

References

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Category:Integers