The number 2960
2960 is a composite number with 20 divisors. Its prime factorisation is × 5 × 37. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370 … 2960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2960 is composite. Its prime factorisation is
- 3
The divisors add up to 7068; without 2960 itself that is 4108, so 2960 is abundant (4108 is more than 2960). Euler's totient φ(2960) = 1152 numbers up to 2960 share no factor with it.
- 4
The digits of 2960 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2960 = 2^{4} \times 5 \times 37 \]2960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 7068 |
| Euler totient φ(n) | 1152 |
| Square | 8761600 |
| Cube | 25934336000 |
| Square root | 54.405882 (= 4√185) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.96 × |
2960 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and sixty |
| Roman numerals | MMCMLX |
| Binary (base 2) | 101110010000 |
| Octal (base 8) | 5620 |
| Hexadecimal (base 16) | B90 |
| Base 3 | 11001122 |
| As time | 2960 seconds = 49 min 20 s |
Is 2960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2960 ÷ 2 = 1480) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2960 ÷ 4 = 740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2960 ÷ 5 = 592) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (2960 ÷ 8 = 370) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2960 ÷ 10 = 296) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2960 a prime number?
No. 2960 = × 5 × 37, so it is divisible by 2.
What are the factors of 2960?
1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960.
What is 2960 in binary?
101110010000 (hexadecimal B90, octal 5620).
What is the square root of 2960?
About 54.4059, exactly 4√185.
What is 2960 in Roman numerals?
MMCMLX.
Is 2960 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2960?
It is a composite number with 20 divisors.