The number 31341
31341 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 337. Divisors (8): 1, 3, 31, 93, 337, 1011, 10447, 31341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31341 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31341 is composite. Its prime factorisation is
- 3
The divisors add up to 43264; without 31341 itself that is 11923, so 31341 is deficient (11923 is less than 31341). Euler's totient φ(31341) = 20160 numbers up to 31341 share no factor with it.
- 4
The digits of 31341 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31341 = 3 \times 31 \times 337 \]
31341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43264 |
| Euler totient φ(n) | 20160 |
| Square | 982258281 |
| Cube | 30784956784821 |
| Square root | 177.033895 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.1341 × |
31341 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and forty-one |
| Binary (base 2) | 111101001101101 |
| Octal (base 8) | 75155 |
| Hexadecimal (base 16) | 7A6D |
| Base 3 | 1120222210 |
| As time | 31341 seconds = 8 h 42 min 21 s |
Is 31341 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31341 ÷ 3 = 10447) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31341 a prime number?
No. 31341 = 3 × 31 × 337, so it is divisible by 3.
What are the factors of 31341?
1, 3, 31, 93, 337, 1011, 10447, 31341.
What is 31341 in binary?
111101001101101 (hexadecimal 7A6D, octal 75155).
What is the square root of 31341?
About 177.0339.
Is 31341 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31341?
It is a composite number with 8 divisors.