The number 31149
31149 is a composite number with 6 divisors. Its prime factorisation is × 3461. Divisors (6): 1, 3, 9, 3461, 10383, 31149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31149 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31149 is composite. Its prime factorisation is
- 3
The divisors add up to 45006; without 31149 itself that is 13857, so 31149 is deficient (13857 is less than 31149). Euler's totient φ(31149) = 20760 numbers up to 31149 share no factor with it.
- 4
The digits of 31149 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31149 = 3^{2} \times 3461 \]31149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 45006 |
| Euler totient φ(n) | 20760 |
| Square | 970260201 |
| Cube | 30222635000949 |
| Square root | 176.490793 (= 3√3461) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.1149 × |
31149 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and forty-nine |
| Binary (base 2) | 111100110101101 |
| Octal (base 8) | 74655 |
| Hexadecimal (base 16) | 79AD |
| Base 3 | 1120201200 |
| As time | 31149 seconds = 8 h 39 min 9 s |
Is 31149 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 (31149 ÷ 3 = 10383) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (31149 ÷ 9 = 3461) | 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 8) | 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 31149 a prime number?
No. 31149 = × 3461, so it is divisible by 3.
What are the factors of 31149?
1, 3, 9, 3461, 10383, 31149.
What is 31149 in binary?
111100110101101 (hexadecimal 79AD, octal 74655).
What is the square root of 31149?
About 176.4908, exactly 3√3461.
Is 31149 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31149?
It is a composite number with 6 divisors.