The number 6976
6976 is a composite number with 14 divisors. Its prime factorisation is × 109. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6976 is composite. Its prime factorisation is
- 3
The divisors add up to 13970; without 6976 itself that is 6994, so 6976 is abundant (6994 is more than 6976). Euler's totient φ(6976) = 3456 numbers up to 6976 share no factor with it.
- 4
The digits of 6976 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6976 = 2^{6} \times 109 \]6976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 13970 |
| Euler totient φ(n) | 3456 |
| Square | 48664576 |
| Cube | 339484082176 |
| Square root | 83.522452 (= 8√109) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 6.976 × |
6976 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and seventy-six |
| Binary (base 2) | 1101101000000 |
| Octal (base 8) | 15500 |
| Hexadecimal (base 16) | 1B40 |
| Base 3 | 100120101 |
| As time | 6976 seconds = 1 h 56 min 16 s |
Is 6976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6976 ÷ 2 = 3488) | 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 (6976 ÷ 4 = 1744) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | 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 | Yes (6976 ÷ 8 = 872) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 6976 a prime number?
No. 6976 = × 109, so it is divisible by 2.
What are the factors of 6976?
1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976.
What is 6976 in binary?
1101101000000 (hexadecimal 1B40, octal 15500).
What is the square root of 6976?
About 83.5225, exactly 8√109.
Is 6976 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 6976?
It is a composite number with 14 divisors.