The number 1734
1734 is a composite number with 12 divisors. Its prime factorisation is 2 × 3 × . Divisors (12): 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1734 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1734 is composite. Its prime factorisation is
- 3
The divisors add up to 3684; without 1734 itself that is 1950, so 1734 is abundant (1950 is more than 1734). Euler's totient φ(1734) = 544 numbers up to 1734 share no factor with it.
- 4
The digits of 1734 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1734 = 2 \times 3 \times 17^{2} \]1734 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3684 |
| Euler totient φ(n) | 544 |
| Square | 3006756 |
| Cube | 5213714904 |
| Square root | 41.641326 (= 17√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.734 × |
1734 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and thirty-four |
| Roman numerals | MDCCXXXIV |
| Binary (base 2) | 11011000110 |
| Octal (base 8) | 3306 |
| Hexadecimal (base 16) | 6C6 |
| Base 3 | 2101020 |
| As time | 1734 seconds = 28 min 54 s |
Is 1734 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1734 ÷ 2 = 867) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1734 ÷ 3 = 578) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1734 ÷ 6 = 289) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1734 a prime number?
No. 1734 = 2 × 3 × , so it is divisible by 2.
What are the factors of 1734?
1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734.
What is 1734 in binary?
11011000110 (hexadecimal 6C6, octal 3306).
What is the square root of 1734?
About 41.6413, exactly 17√6.
What is 1734 in Roman numerals?
MDCCXXXIV.
Is 1734 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1734?
It is a composite number with 12 divisors.