The number 31343
31343 is a composite number with 4 divisors. Its prime factorisation is 13 × 2411. Divisors (4): 1, 13, 2411, 31343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31343: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 2411, the product of two primes.
- 2
31343 is composite. Its prime factorisation is
- 3
The divisors add up to 33768; without 31343 itself that is 2425, so 31343 is deficient (2425 is less than 31343). Euler's totient φ(31343) = 28920 numbers up to 31343 share no factor with it.
- 4
The digits of 31343 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 253 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31343 = 13 \times 2411 \]
31343 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33768 |
| Euler totient φ(n) | 28920 |
| Square | 982383649 |
| Cube | 30790850710607 |
| Square root | 177.039544 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 253 |
| Scientific notation | 3.1343 × |
31343 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and forty-three |
| Binary (base 2) | 111101001101111 |
| Octal (base 8) | 75157 |
| Hexadecimal (base 16) | 7A6F |
| Base 3 | 1120222212 |
| As time | 31343 seconds = 8 h 42 min 23 s |
Is 31343 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31343 a prime number?
No. 31343 = 13 × 2411, so it is divisible by 13.
What are the factors of 31343?
1, 13, 2411, 31343.
What is 31343 in binary?
111101001101111 (hexadecimal 7A6F, octal 75157).
What is the square root of 31343?
About 177.0395.
Is 31343 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31343?
31343 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 2411, the product of two primes.