7744
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|---|---|---|---|---|
| Cardinal | seven thousand seven hundred forty-four | |||
| Ordinal | 7744th (seven thousand seven hundred forty-fourth) | |||
| Factorization | 26 × 112 | |||
| Divisors | 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1,936, 3,872 | |||
| Greek numeral | ,ΖΨΜΔ´ | |||
| Roman numeral | VMMDCCXLIV, or VIIDCCXLIV | |||
| Binary | 11110010000002 | |||
| Ternary | 1011212113 | |||
| Senary | 555046 | |||
| Octal | 171008 | |||
| Duodecimal | 459412 | |||
| Hexadecimal | 1E4016 | |||
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]- ^ 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.
- ^ 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.