7744 (number)

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← 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
Binary11110010000002
Ternary1011212113
Quaternary13210004
Quinary2214345
Senary555046
Octal171008
Duodecimal459412
Hexadecimal1E4016
VigesimalJ7420
Base 365Z436

7744 is the natural number following 7743 and preceding 7745.

In mathematics[edit]

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[edit]

  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.