The number 8996
8996 is a composite number with 12 divisors. Its prime factorisation is × 13 × 173. Divisors (12): 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8996: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8996 is composite. Its prime factorisation is
- 3
The divisors add up to 17052; without 8996 itself that is 8056, so 8996 is deficient (8056 is less than 8996). Euler's totient φ(8996) = 4128 numbers up to 8996 share no factor with it.
- 4
The digits of 8996 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8996 = 2^{2} \times 13 \times 173 \]8996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17052 |
| Euler totient φ(n) | 4128 |
| Square | 80928016 |
| Cube | 728028431936 |
| Square root | 94.847246 (= 2√2249) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.996 × |
8996 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and ninety-six |
| Binary (base 2) | 10001100100100 |
| Octal (base 8) | 21444 |
| Hexadecimal (base 16) | 2324 |
| Base 3 | 110100012 |
| As time | 8996 seconds = 2 h 29 min 56 s |
Is 8996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8996 ÷ 2 = 4498) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8996 ÷ 4 = 2249) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8996 a prime number?
No. 8996 = × 13 × 173, so it is divisible by 2.
What are the factors of 8996?
1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996.
What is 8996 in binary?
10001100100100 (hexadecimal 2324, octal 21444).
What is the square root of 8996?
About 94.8472, exactly 2√2249.
Is 8996 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 8996?
8996 is a happy number: repeatedly adding the squares of its digits reaches 1.