The number 31674
31674 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5279. Divisors (8): 1, 2, 3, 6, 5279, 10558, 15837, 31674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31674 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31674 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 31674 itself that is 31686, so 31674 is abundant (31686 is more than 31674). Euler's totient φ(31674) = 10556 numbers up to 31674 share no factor with it.
- 4
The digits of 31674 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31674 = 2 \times 3 \times 5279 \]
31674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 10556 |
| Square | 1003242276 |
| Cube | 31776695850024 |
| Square root | 177.971908 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1674 × |
31674 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and seventy-four |
| Binary (base 2) | 111101110111010 |
| Octal (base 8) | 75672 |
| Hexadecimal (base 16) | 7BBA |
| Base 3 | 1121110010 |
| As time | 31674 seconds = 8 h 47 min 54 s |
Is 31674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31674 ÷ 2 = 15837) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31674 ÷ 3 = 10558) | 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 (31674 ÷ 6 = 5279) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 5) | 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 31674 a prime number?
No. 31674 = 2 × 3 × 5279, so it is divisible by 2.
What are the factors of 31674?
1, 2, 3, 6, 5279, 10558, 15837, 31674.
What is 31674 in binary?
111101110111010 (hexadecimal 7BBA, octal 75672).
What is the square root of 31674?
About 177.9719.
Is 31674 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 31674?
It is a composite number with 8 divisors.