The number 1704
1704 is a composite number with 16 divisors. Its prime factorisation is × 3 × 71. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1704: a Harshad number: divisible by its digit sum 12.
- 2
1704 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 1704 itself that is 2616, so 1704 is abundant (2616 is more than 1704). Euler's totient φ(1704) = 560 numbers up to 1704 share no factor with it.
- 4
The digits of 1704 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 16 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1704 = 2^{3} \times 3 \times 71 \]1704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 560 |
| Square | 2903616 |
| Cube | 4947761664 |
| Square root | 41.279535 (= 2√426) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 16 |
| Scientific notation | 1.704 × |
1704 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and four |
| Roman numerals | MDCCIV |
| Binary (base 2) | 11010101000 |
| Octal (base 8) | 3250 |
| Hexadecimal (base 16) | 6A8 |
| Base 3 | 2100010 |
| As time | 1704 seconds = 28 min 24 s |
Is 1704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1704 ÷ 2 = 852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1704 ÷ 3 = 568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1704 ÷ 4 = 426) | 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 (1704 ÷ 6 = 284) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (1704 ÷ 8 = 213) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1704 ÷ 12 = 142) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1704 a prime number?
No. 1704 = × 3 × 71, so it is divisible by 2.
What are the factors of 1704?
1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704.
What is 1704 in binary?
11010101000 (hexadecimal 6A8, octal 3250).
What is the square root of 1704?
About 41.2795, exactly 2√426.
What is 1704 in Roman numerals?
MDCCIV.
Is 1704 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1704?
1704 is a Harshad number: divisible by its digit sum 12.