The number 31349
31349 is a composite number with 8 divisors. Its prime factorisation is 23 × 29 × 47. Divisors (8): 1, 23, 29, 47, 667, 1081, 1363, 31349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31349 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 31349 itself that is 3211, so 31349 is deficient (3211 is less than 31349). Euler's totient φ(31349) = 28336 numbers up to 31349 share no factor with it.
- 4
The digits of 31349 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31349 = 23 \times 29 \times 47 \]
31349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 28336 |
| Square | 982759801 |
| Cube | 30808537001549 |
| Square root | 177.056488 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1349 × |
31349 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and forty-nine |
| Binary (base 2) | 111101001110101 |
| Octal (base 8) | 75165 |
| Hexadecimal (base 16) | 7A75 |
| Base 3 | 1121000002 |
| As time | 31349 seconds = 8 h 42 min 29 s |
Is 31349 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 1) | 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 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31349 a prime number?
No. 31349 = 23 × 29 × 47, so it is divisible by 23.
What are the factors of 31349?
1, 23, 29, 47, 667, 1081, 1363, 31349.
What is 31349 in binary?
111101001110101 (hexadecimal 7A75, octal 75165).
What is the square root of 31349?
About 177.0565.
Is 31349 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31349?
It is a composite number with 8 divisors.