The number 8976
8976 is a composite number with 40 divisors. Its prime factorisation is × 3 × 11 × 17. Divisors (40): 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48 … 8976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8976: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8976 is composite. Its prime factorisation is
- 3
The divisors add up to 26784; without 8976 itself that is 17808, so 8976 is abundant (17808 is more than 8976). Euler's totient φ(8976) = 2560 numbers up to 8976 share no factor with it.
- 4
The digits of 8976 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8976 = 2^{4} \times 3 \times 11 \times 17 \]8976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 26784 |
| Euler totient φ(n) | 2560 |
| Square | 80568576 |
| Cube | 723183538176 |
| Square root | 94.741754 (= 4√561) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.976 × |
8976 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and seventy-six |
| Binary (base 2) | 10001100010000 |
| Octal (base 8) | 21420 |
| Hexadecimal (base 16) | 2310 |
| Base 3 | 110022110 |
| As time | 8976 seconds = 2 h 29 min 36 s |
Is 8976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8976 ÷ 2 = 4488) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8976 ÷ 3 = 2992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8976 ÷ 4 = 2244) | 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 | Yes (8976 ÷ 6 = 1496) | 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 (8976 ÷ 8 = 1122) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8976 ÷ 11 = 816) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8976 ÷ 12 = 748) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8976 a prime number?
No. 8976 = × 3 × 11 × 17, so it is divisible by 2.
What are the factors of 8976?
1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976.
What is 8976 in binary?
10001100010000 (hexadecimal 2310, octal 21420).
What is the square root of 8976?
About 94.7418, exactly 4√561.
Is 8976 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 8976?
8976 is a happy number: repeatedly adding the squares of its digits reaches 1.