7744

In this article, we will thoroughly explore the topic of 7744 and all aspects related to it. From its origin to its relevance today, through its possible future implications, we will immerse ourselves in an exhaustive analysis that will cover both historical and contemporary aspects. 7744 is a topic of great interest and with a significant impact in various areas, so it is essential to understand it in its entirety. Through this article, we aim to provide the reader with a complete and detailed vision of 7744, with the aim of generating solid and enriching knowledge on this topic.

This article is about the integer. For the year 7744, see 8th millennium.
← 7743 7744 7745 →
Cardinalseven thousand seven hundred forty-four
Ordinal7744th
(seven thousand seven hundred forty-fourth)
Factorization26 × 112
Divisors2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1,936, 3,872
Greek numeral,ΖΨΜΔ´
Roman numeralVMMDCCXLIV, or VIIDCCXLIV
Binary11110010000002
Ternary1011212113
Senary555046
Octal171008
Duodecimal459412
Hexadecimal1E4016

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.[1]
  • the sum of two fifth powers: 7744 = 65 + (−2)5.[2]
  • 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

  1. ^ Sloane, N. J. A. (ed.). "Sequence A052070 (Smallest squares whose digits occur with the same frequency n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A020896 (Positive numbers n such that n = x^5 + y^5 has a solution in nonzero integers x, y)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.