703 (number)
| ||||
|---|---|---|---|---|
| Cardinal | seven hundred three | |||
| Ordinal | 703rd (seven hundred third) | |||
| Factorization | 19 × 37 | |||
| Divisors | 1, 19, 37, 703 | |||
| Greek numeral | ΨΓ´ | |||
| Roman numeral | DCCIII, dcciii | |||
| Binary | 10101111112 | |||
| Ternary | 2220013 | |||
| Senary | 31316 | |||
| Octal | 12778 | |||
| Duodecimal | 4A712 | |||
| Hexadecimal | 2BF16 | |||
703 (seven hundred [and] three) is the natural number following 702 and preceding 704.[1]
In mathematics
[edit]The prime factorization of 703 is , meaning that 703 is a composite number with four divisors.[1]
703 is a triangular number, a hexagonal number, a centered nonagonal number,[1] a brilliant number,[2] a discriminant of imaginary quadratic fields with class number 14,[3] a pseudoprime to base 3[4] which is also strong,[5] and a Base 3 Euler-Jacobi pseudoprime.[6]
703 is a Kaprekar number,[7] since , and .[8][9][10][11] It is also one of only four known 3-Kaprekar numbers,[12] since .[9][13]
It being a triangular, and Kaprekar number, it is the only Kaprekar number that is triangular.[14]
References
[edit]- 1 2 3 Vanovschi, Vitalii. "Properties of the number 4104". www.numberempire.com. Retrieved 2026-09-16.
- ↑ Sloane, N. J. A. (ed.). "Sequence A078972 (Brilliant numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Weisstein, Eric W. "Class Number". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-16.
- ↑ Weisstein, Eric W. "Fermat Pseudoprime". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-16.
- ↑ Weisstein, Eric W. "Strong Pseudoprime". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-16.
- ↑ Weisstein, Eric W. "Euler-Jacobi Pseudoprime". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-16.
- ↑ Landis, Charles D. (July 2008). God's Hidden Creation Numbers*: *Functions of the Universe!. AuthorHouse. ISBN 978-1-4343-9692-1.
- ↑ Weisstein, Eric W. "Kaprekar Number". mathworld.wolfram.com. Wolfram Research, Inc. Retrieved 2026-09-16.
- 1 2 Douglas E., Douglas (2000). "The Kaprekar Numbers". Journal of Integer Sequences. 3 (Article 00.1.2). Retrieved 2026-09-16.
- ↑ Sloane, N. J. A. (ed.). "Sequence A006886 (Kaprekar numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Sándor, J.; Crstici, B. (2004). Handbook of Number Theory II. Springer Science & Business Media. ISBN 978-1-4020-2546-4.
- ↑ Sloane, N. J. A. (ed.). "Sequence A053394 (The full list of 3-Kaprekar numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ Javaheri, Mohammad (2026-05-28). "On 2025 and Other Torn Numbers". The American Mathematical Monthly. 133 (5): 478–484. doi:10.1080/00029890.2025.2561491. ISSN 0002-9890.
- ↑ Gupta, Shyam Sunder (2025), "On Some Marvellous Numbers of Kaprekar", Exploring the Beauty of Fascinating Numbers, Singapore: Springer Nature Singapore, pp. 275–315, doi:10.1007/978-981-97-2465-9_9, ISBN 978-981-97-2464-2, retrieved 2026-09-16
{{citation}}: CS1 maint: work parameter with ISBN (link)
| |||||||||
| |||||||||
| |||||||||
| |||||||||
 | This article about a number is a stub. You can help Wikipedia by adding missing information. |
