The number 976
976 is a composite number with 10 divisors. Its prime factorisation is × 61. Divisors (10): 1, 2, 4, 8, 16, 61, 122, 244, 488, 976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
976 is composite. Its prime factorisation is
- 3
The divisors add up to 1922; without 976 itself that is 946, so 976 is deficient (946 is less than 976). Euler's totient φ(976) = 480 numbers up to 976 share no factor with it.
- 4
The digits of 976 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 976 = 2^{4} \times 61 \]976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 1922 |
| Euler totient φ(n) | 480 |
| Square | 952576 |
| Cube | 929714176 |
| Square root | 31.240999 (= 4√61) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 23 |
| Scientific notation | 9.76 × |
976 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and seventy-six |
| Roman numerals | CMLXXVI |
| Binary (base 2) | 1111010000 |
| Octal (base 8) | 1720 |
| Hexadecimal (base 16) | 3D0 |
| Base 3 | 1100011 |
| As time | 976 seconds = 16 min 16 s |
Is 976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (976 ÷ 2 = 488) | 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 (976 ÷ 4 = 244) | 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 3) | 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 (976 ÷ 8 = 122) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | 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 976 a prime number?
No. 976 = × 61, so it is divisible by 2.
What are the factors of 976?
1, 2, 4, 8, 16, 61, 122, 244, 488, 976.
What is 976 in binary?
1111010000 (hexadecimal 3D0, octal 1720).
What is the square root of 976?
About 31.2410, exactly 4√61.
What is 976 in Roman numerals?
CMLXXVI.
Is 976 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 976?
It is a composite number with 10 divisors.