The number 8967
8967 is a composite number with 12 divisors. Its prime factorisation is 3 × × 61. Divisors (12): 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8967: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8967 is composite. Its prime factorisation is
- 3
The divisors add up to 14136; without 8967 itself that is 5169, so 8967 is deficient (5169 is less than 8967). Euler's totient φ(8967) = 5040 numbers up to 8967 share no factor with it.
- 4
The digits of 8967 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8967 = 3 \times 7^{2} \times 61 \]8967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14136 |
| Euler totient φ(n) | 5040 |
| Square | 80407089 |
| Cube | 721010367063 |
| Square root | 94.694245 (= 7√183) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.967 × |
8967 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and sixty-seven |
| Binary (base 2) | 10001100000111 |
| Octal (base 8) | 21407 |
| Hexadecimal (base 16) | 2307 |
| Base 3 | 110022010 |
| As time | 8967 seconds = 2 h 29 min 27 s |
Is 8967 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8967 ÷ 3 = 2989) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8967 ÷ 7 = 1281) | 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 7) | 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 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8967 a prime number?
No. 8967 = 3 × × 61, so it is divisible by 3.
What are the factors of 8967?
1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967.
What is 8967 in binary?
10001100000111 (hexadecimal 2307, octal 21407).
What is the square root of 8967?
About 94.6942, exactly 7√183.
Is 8967 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 8967?
8967 is a happy number: repeatedly adding the squares of its digits reaches 1.