The number 2958
2958 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 29. Divisors (16): 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2958 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2958 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 2958 itself that is 3522, so 2958 is abundant (3522 is more than 2958). Euler's totient φ(2958) = 896 numbers up to 2958 share no factor with it.
- 4
The digits of 2958 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2958 = 2 \times 3 \times 17 \times 29 \]
2958 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 896 |
| Square | 8749764 |
| Cube | 25881801912 |
| Square root | 54.387499 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 2.958 × |
2958 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and fifty-eight |
| Roman numerals | MMCMLVIII |
| Binary (base 2) | 101110001110 |
| Octal (base 8) | 5616 |
| Hexadecimal (base 16) | B8E |
| Base 3 | 11001120 |
| As time | 2958 seconds = 49 min 18 s |
Is 2958 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2958 ÷ 2 = 1479) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2958 ÷ 3 = 986) | 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 (2958 ÷ 6 = 493) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 6) | 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 10) | 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 2958 a prime number?
No. 2958 = 2 × 3 × 17 × 29, so it is divisible by 2.
What are the factors of 2958?
1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958.
What is 2958 in binary?
101110001110 (hexadecimal B8E, octal 5616).
What is the square root of 2958?
About 54.3875.
What is 2958 in Roman numerals?
MMCMLVIII.
Is 2958 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 2958?
It is a composite number with 16 divisors.