The number 1700
1700 is a composite number with 18 divisors. Its prime factorisation is × × 17. Divisors (18): 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425 … 1700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1700 is composite. Its prime factorisation is
- 3
The divisors add up to 3906; without 1700 itself that is 2206, so 1700 is abundant (2206 is more than 1700). Euler's totient φ(1700) = 640 numbers up to 1700 share no factor with it.
- 4
The digits of 1700 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1700 = 2^{2} \times 5^{2} \times 17 \]1700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 3906 |
| Euler totient φ(n) | 640 |
| Square | 2890000 |
| Cube | 4913000000 |
| Square root | 41.231056 (= 10√17) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.7 × |
1700 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred |
| Roman numerals | MDCC |
| Binary (base 2) | 11010100100 |
| Octal (base 8) | 3244 |
| Hexadecimal (base 16) | 6A4 |
| Base 3 | 2022222 |
| As time | 1700 seconds = 28 min 20 s |
Is 1700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1700 ÷ 2 = 850) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1700 ÷ 4 = 425) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1700 ÷ 5 = 340) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1700 ÷ 10 = 170) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1700 a prime number?
No. 1700 = × × 17, so it is divisible by 2.
What are the factors of 1700?
1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700.
What is 1700 in binary?
11010100100 (hexadecimal 6A4, octal 3244).
What is the square root of 1700?
About 41.2311, exactly 10√17.
What is 1700 in Roman numerals?
MDCC.
Is 1700 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1700?
It is a composite number with 18 divisors.