The number 5958
5958 is a composite number with 12 divisors. Its prime factorisation is 2 × × 331. Divisors (12): 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5958 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5958 is composite. Its prime factorisation is
- 3
The divisors add up to 12948; without 5958 itself that is 6990, so 5958 is abundant (6990 is more than 5958). Euler's totient φ(5958) = 1980 numbers up to 5958 share no factor with it.
- 4
The digits of 5958 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5958 = 2 \times 3^{2} \times 331 \]5958 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 12948 |
| Euler totient φ(n) | 1980 |
| Square | 35497764 |
| Cube | 211495677912 |
| Square root | 77.188082 (= 3√662) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.958 × |
5958 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and fifty-eight |
| Binary (base 2) | 1011101000110 |
| Octal (base 8) | 13506 |
| Hexadecimal (base 16) | 1746 |
| Base 3 | 22011200 |
| As time | 5958 seconds = 1 h 39 min 18 s |
Is 5958 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5958 ÷ 2 = 2979) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5958 ÷ 3 = 1986) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5958 ÷ 6 = 993) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5958 ÷ 9 = 662) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5958 a prime number?
No. 5958 = 2 × × 331, so it is divisible by 2.
What are the factors of 5958?
1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958.
What is 5958 in binary?
1011101000110 (hexadecimal 1746, octal 13506).
What is the square root of 5958?
About 77.1881, exactly 3√662.
Is 5958 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 5958?
It is a composite number with 12 divisors.