The number 31146
31146 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 179. Divisors (16): 1, 2, 3, 6, 29, 58, 87, 174, 179, 358, 537, 1074, 5191, 10382, 15573, 31146.
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How to work it out
- 1
31146 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31146 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 31146 itself that is 33654, so 31146 is abundant (33654 is more than 31146). Euler's totient φ(31146) = 9968 numbers up to 31146 share no factor with it.
- 4
The digits of 31146 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31146 = 2 \times 3 \times 29 \times 179 \]
31146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 9968 |
| Square | 970073316 |
| Cube | 30213903500136 |
| Square root | 176.482294 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1146 × |
31146 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and forty-six |
| Binary (base 2) | 111100110101010 |
| Octal (base 8) | 74652 |
| Hexadecimal (base 16) | 79AA |
| Base 3 | 1120201120 |
| As time | 31146 seconds = 8 h 39 min 6 s |
Is 31146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31146 ÷ 2 = 15573) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31146 ÷ 3 = 10382) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31146 ÷ 6 = 5191) | 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 | No (remainder 2) | 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 6) | 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 31146 a prime number?
No. 31146 = 2 × 3 × 29 × 179, so it is divisible by 2.
What are the factors of 31146?
1, 2, 3, 6, 29, 58, 87, 174, 179, 358, 537, 1074, 5191, 10382, 15573, 31146.
What is 31146 in binary?
111100110101010 (hexadecimal 79AA, octal 74652).
What is the square root of 31146?
About 176.4823.
Is 31146 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31146?
It is a composite number with 16 divisors.