The number 9976
9976 is a composite number with 16 divisors. Its prime factorisation is × 29 × 43. Divisors (16): 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9976 is composite. Its prime factorisation is
- 3
The divisors add up to 19800; without 9976 itself that is 9824, so 9976 is deficient (9824 is less than 9976). Euler's totient φ(9976) = 4704 numbers up to 9976 share no factor with it.
- 4
The digits of 9976 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9976 = 2^{3} \times 29 \times 43 \]9976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19800 |
| Euler totient φ(n) | 4704 |
| Square | 99520576 |
| Cube | 992817266176 |
| Square root | 99.879928 (= 2√2494) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.976 × |
9976 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and seventy-six |
| Binary (base 2) | 10011011111000 |
| Octal (base 8) | 23370 |
| Hexadecimal (base 16) | 26F8 |
| Base 3 | 111200111 |
| As time | 9976 seconds = 2 h 46 min 16 s |
Is 9976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9976 ÷ 2 = 4988) | 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 (9976 ÷ 4 = 2494) | 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 1) | 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 (9976 ÷ 8 = 1247) | 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 10) | 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 9976 a prime number?
No. 9976 = × 29 × 43, so it is divisible by 2.
What are the factors of 9976?
1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976.
What is 9976 in binary?
10011011111000 (hexadecimal 26F8, octal 23370).
What is the square root of 9976?
About 99.8799, exactly 2√2494.
Is 9976 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 9976?
It is a composite number with 16 divisors.