The number 31242
31242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 41 × 127. Divisors (16): 1, 2, 3, 6, 41, 82, 123, 127, 246, 254, 381, 762, 5207, 10414, 15621, 31242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31242 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 31242 itself that is 33270, so 31242 is abundant (33270 is more than 31242). Euler's totient φ(31242) = 10080 numbers up to 31242 share no factor with it.
- 4
The digits of 31242 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31242 = 2 \times 3 \times 41 \times 127 \]
31242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 10080 |
| Square | 976062564 |
| Cube | 30494146624488 |
| Square root | 176.754066 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1242 × |
31242 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and forty-two |
| Binary (base 2) | 111101000001010 |
| Octal (base 8) | 75012 |
| Hexadecimal (base 16) | 7A0A |
| Base 3 | 1120212010 |
| As time | 31242 seconds = 8 h 40 min 42 s |
Is 31242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31242 ÷ 2 = 15621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31242 ÷ 3 = 10414) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31242 ÷ 6 = 5207) | 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 | 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 2) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31242 a prime number?
No. 31242 = 2 × 3 × 41 × 127, so it is divisible by 2.
What are the factors of 31242?
1, 2, 3, 6, 41, 82, 123, 127, 246, 254, 381, 762, 5207, 10414, 15621, 31242.
What is 31242 in binary?
111101000001010 (hexadecimal 7A0A, octal 75012).
What is the square root of 31242?
About 176.7541.
Is 31242 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31242?
It is a composite number with 16 divisors.