The number 1730
1730 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 173. Divisors (8): 1, 2, 5, 10, 173, 346, 865, 1730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1730 is composite. Its prime factorisation is
- 3
The divisors add up to 3132; without 1730 itself that is 1402, so 1730 is deficient (1402 is less than 1730). Euler's totient φ(1730) = 688 numbers up to 1730 share no factor with it.
- 4
The digits of 1730 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1730 = 2 \times 5 \times 173 \]
1730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3132 |
| Euler totient φ(n) | 688 |
| Square | 2992900 |
| Cube | 5177717000 |
| Square root | 41.593269 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.73 × |
1730 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and thirty |
| Roman numerals | MDCCXXX |
| Binary (base 2) | 11011000010 |
| Octal (base 8) | 3302 |
| Hexadecimal (base 16) | 6C2 |
| Base 3 | 2101002 |
| As time | 1730 seconds = 28 min 50 s |
Is 1730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1730 ÷ 2 = 865) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1730 ÷ 5 = 346) | 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 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1730 ÷ 10 = 173) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1730 a prime number?
No. 1730 = 2 × 5 × 173, so it is divisible by 2.
What are the factors of 1730?
1, 2, 5, 10, 173, 346, 865, 1730.
What is 1730 in binary?
11011000010 (hexadecimal 6C2, octal 3302).
What is the square root of 1730?
About 41.5933.
What is 1730 in Roman numerals?
MDCCXXX.
Is 1730 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1730?
It is a composite number with 8 divisors.