The number 31704
31704 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1321. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1321, 2642, 3963, 5284, 7926, 10568, 15852, 31704.
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How to work it out
- 1
31704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31704 is composite. Its prime factorisation is
- 3
The divisors add up to 79320; without 31704 itself that is 47616, so 31704 is abundant (47616 is more than 31704). Euler's totient φ(31704) = 10560 numbers up to 31704 share no factor with it.
- 4
The digits of 31704 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31704 = 2^{3} \times 3 \times 1321 \]31704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79320 |
| Euler totient φ(n) | 10560 |
| Square | 1005143616 |
| Cube | 31867073201664 |
| Square root | 178.056171 (= 2√7926) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1704 × |
31704 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and four |
| Binary (base 2) | 111101111011000 |
| Octal (base 8) | 75730 |
| Hexadecimal (base 16) | 7BD8 |
| Base 3 | 1121111020 |
| As time | 31704 seconds = 8 h 48 min 24 s |
Is 31704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31704 ÷ 2 = 15852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31704 ÷ 3 = 10568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31704 ÷ 4 = 7926) | 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 (31704 ÷ 6 = 5284) | 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 | Yes (31704 ÷ 8 = 3963) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31704 ÷ 12 = 2642) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31704 a prime number?
No. 31704 = × 3 × 1321, so it is divisible by 2.
What are the factors of 31704?
1, 2, 3, 4, 6, 8, 12, 24, 1321, 2642, 3963, 5284, 7926, 10568, 15852, 31704.
What is 31704 in binary?
111101111011000 (hexadecimal 7BD8, octal 75730).
What is the square root of 31704?
About 178.0562, exactly 2√7926.
Is 31704 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31704?
It is a composite number with 16 divisors.