The number 58149
58149 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 71. Divisors (24): 1, 3, 7, 9, 13, 21, 39, 63, 71, 91, 117, 213, 273, 497, 639, 819 … 58149.
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How to work it out
- 1
58149 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58149 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 58149 itself that is 46683, so 58149 is deficient (46683 is less than 58149). Euler's totient φ(58149) = 30240 numbers up to 58149 share no factor with it.
- 4
The digits of 58149 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58149 = 3^{2} \times 7 \times 13 \times 71 \]58149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 30240 |
| Square | 3381306201 |
| Cube | 196619574281949 |
| Square root | 241.141038 (= 3√6461) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.8149 × |
58149 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and forty-nine |
| Binary (base 2) | 1110001100100101 |
| Octal (base 8) | 161445 |
| Hexadecimal (base 16) | E325 |
| Base 3 | 2221202200 |
| As time | 58149 seconds = 16 h 9 min 9 s |
Is 58149 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 (58149 ÷ 3 = 19383) | 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 | Yes (58149 ÷ 7 = 8307) | 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 (58149 ÷ 9 = 6461) | 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 3) | 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 58149 a prime number?
No. 58149 = × 7 × 13 × 71, so it is divisible by 3.
What are the factors of 58149?
1, 3, 7, 9, 13, 21, 39, 63, 71, 91, 117, 213, 273, 497, 639, 819, 923, 1491, 2769, 4473, 6461, 8307, 19383, 58149.
What is 58149 in binary?
1110001100100101 (hexadecimal E325, octal 161445).
What is the square root of 58149?
About 241.1410, exactly 3√6461.
Is 58149 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58149?
It is a composite number with 24 divisors.