The number 2968
2968 is a composite number with 16 divisors. Its prime factorisation is × 7 × 53. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2968 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 2968 itself that is 3512, so 2968 is abundant (3512 is more than 2968). Euler's totient φ(2968) = 1248 numbers up to 2968 share no factor with it.
- 4
The digits of 2968 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2968 = 2^{3} \times 7 \times 53 \]2968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 1248 |
| Square | 8809024 |
| Cube | 26145183232 |
| Square root | 54.479354 (= 2√742) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.968 × |
2968 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and sixty-eight |
| Roman numerals | MMCMLXVIII |
| Binary (base 2) | 101110011000 |
| Octal (base 8) | 5630 |
| Hexadecimal (base 16) | B98 |
| Base 3 | 11001221 |
| As time | 2968 seconds = 49 min 28 s |
Is 2968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2968 ÷ 2 = 1484) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2968 ÷ 4 = 742) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2968 ÷ 7 = 424) | 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 | Yes (2968 ÷ 8 = 371) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2968 a prime number?
No. 2968 = × 7 × 53, so it is divisible by 2.
What are the factors of 2968?
1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968.
What is 2968 in binary?
101110011000 (hexadecimal B98, octal 5630).
What is the square root of 2968?
About 54.4794, exactly 2√742.
What is 2968 in Roman numerals?
MMCMLXVIII.
Is 2968 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 2968?
It is a composite number with 16 divisors.