The number 58971
58971 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1787. Divisors (8): 1, 3, 11, 33, 1787, 5361, 19657, 58971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58971 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58971 is composite. Its prime factorisation is
- 3
The divisors add up to 85824; without 58971 itself that is 26853, so 58971 is deficient (26853 is less than 58971). Euler's totient φ(58971) = 35720 numbers up to 58971 share no factor with it.
- 4
The digits of 58971 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58971 = 3 \times 11 \times 1787 \]
58971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 85824 |
| Euler totient φ(n) | 35720 |
| Square | 3477578841 |
| Cube | 205076301832611 |
| Square root | 242.839453 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8971 × |
58971 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and seventy-one |
| Binary (base 2) | 1110011001011011 |
| Octal (base 8) | 163133 |
| Hexadecimal (base 16) | E65B |
| Base 3 | 2222220010 |
| As time | 58971 seconds = 16 h 22 min 51 s |
Is 58971 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 (58971 ÷ 3 = 19657) | 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 | No (remainder 3) | 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 | Yes (58971 ÷ 11 = 5361) | 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 58971 a prime number?
No. 58971 = 3 × 11 × 1787, so it is divisible by 3.
What are the factors of 58971?
1, 3, 11, 33, 1787, 5361, 19657, 58971.
What is 58971 in binary?
1110011001011011 (hexadecimal E65B, octal 163133).
What is the square root of 58971?
About 242.8395.
Is 58971 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 58971?
It is a composite number with 8 divisors.