The number 58131
58131 is a composite number with 8 divisors. Its prime factorisation is × 2153. Divisors (8): 1, 3, 9, 27, 2153, 6459, 19377, 58131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58131: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58131 is composite. Its prime factorisation is
- 3
The divisors add up to 86160; without 58131 itself that is 28029, so 58131 is deficient (28029 is less than 58131). Euler's totient φ(58131) = 38736 numbers up to 58131 share no factor with it.
- 4
The digits of 58131 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58131 = 3^{3} \times 2153 \]58131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86160 |
| Euler totient φ(n) | 38736 |
| Square | 3379213161 |
| Cube | 196437040262091 |
| Square root | 241.103712 (= 3√6459) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8131 × |
58131 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and thirty-one |
| Binary (base 2) | 1110001100010011 |
| Octal (base 8) | 161423 |
| Hexadecimal (base 16) | E313 |
| Base 3 | 2221202000 |
| As time | 58131 seconds = 16 h 8 min 51 s |
Is 58131 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 (58131 ÷ 3 = 19377) | 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58131 ÷ 9 = 6459) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58131 a prime number?
No. 58131 = × 2153, so it is divisible by 3.
What are the factors of 58131?
1, 3, 9, 27, 2153, 6459, 19377, 58131.
What is 58131 in binary?
1110001100010011 (hexadecimal E313, octal 161423).
What is the square root of 58131?
About 241.1037, exactly 3√6459.
Is 58131 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 58131?
58131 is a happy number: repeatedly adding the squares of its digits reaches 1.