The number 6960
6960 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 29. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40 … 6960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6960 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 6960 itself that is 15360, so 6960 is abundant (15360 is more than 6960). Euler's totient φ(6960) = 1792 numbers up to 6960 share no factor with it.
- 4
The digits of 6960 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6960 = 2^{4} \times 3 \times 5 \times 29 \]6960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 1792 |
| Square | 48441600 |
| Cube | 337153536000 |
| Square root | 83.426614 (= 4√435) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 6.96 × |
6960 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and sixty |
| Binary (base 2) | 1101100110000 |
| Octal (base 8) | 15460 |
| Hexadecimal (base 16) | 1B30 |
| Base 3 | 100112210 |
| As time | 6960 seconds = 1 h 56 min 0 s |
Is 6960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6960 ÷ 2 = 3480) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6960 ÷ 3 = 2320) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6960 ÷ 4 = 1740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6960 ÷ 5 = 1392) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6960 ÷ 6 = 1160) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (6960 ÷ 8 = 870) | 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 | Yes (6960 ÷ 10 = 696) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6960 ÷ 12 = 580) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6960 a prime number?
No. 6960 = × 3 × 5 × 29, so it is divisible by 2.
What are the factors of 6960?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480, 6960.
What is 6960 in binary?
1101100110000 (hexadecimal 1B30, octal 15460).
What is the square root of 6960?
About 83.4266, exactly 4√435.
Is 6960 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6960?
It is a composite number with 40 divisors.