The number 31974
31974 is a composite number with 12 divisors. Its prime factorisation is 2 × 3 × . Divisors (12): 1, 2, 3, 6, 73, 146, 219, 438, 5329, 10658, 15987, 31974.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31974 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31974 is composite. Its prime factorisation is
- 3
The divisors add up to 64836; without 31974 itself that is 32862, so 31974 is abundant (32862 is more than 31974). Euler's totient φ(31974) = 10512 numbers up to 31974 share no factor with it.
- 4
The digits of 31974 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31974 = 2 \times 3 \times 73^{2} \]31974 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64836 |
| Euler totient φ(n) | 10512 |
| Square | 1022336676 |
| Cube | 32688192878424 |
| Square root | 178.812751 (= 73√6) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1974 × |
31974 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and seventy-four |
| Binary (base 2) | 111110011100110 |
| Octal (base 8) | 76346 |
| Hexadecimal (base 16) | 7CE6 |
| Base 3 | 1121212020 |
| As time | 31974 seconds = 8 h 52 min 54 s |
Is 31974 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31974 ÷ 2 = 15987) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31974 ÷ 3 = 10658) | 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 (31974 ÷ 6 = 5329) | 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 8) | 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 31974 a prime number?
No. 31974 = 2 × 3 × , so it is divisible by 2.
What are the factors of 31974?
1, 2, 3, 6, 73, 146, 219, 438, 5329, 10658, 15987, 31974.
What is 31974 in binary?
111110011100110 (hexadecimal 7CE6, octal 76346).
What is the square root of 31974?
About 178.8128, exactly 73√6.
Is 31974 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 31974?
It is a composite number with 12 divisors.