The number 9667
9667 is a composite number with 4 divisors. Its prime factorisation is 7 × 1381. Divisors (4): 1, 7, 1381, 9667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9667: a semiprime: 7 × 1381, the product of two primes.
- 2
9667 is composite. Its prime factorisation is
- 3
The divisors add up to 11056; without 9667 itself that is 1389, so 9667 is deficient (1389 is less than 9667). Euler's totient φ(9667) = 8280 numbers up to 9667 share no factor with it.
- 4
The digits of 9667 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9667 = 7 \times 1381 \]
9667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11056 |
| Euler totient φ(n) | 8280 |
| Square | 93450889 |
| Cube | 903389743963 |
| Square root | 98.320903 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.667 × |
9667 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and sixty-seven |
| Binary (base 2) | 10010111000011 |
| Octal (base 8) | 22703 |
| Hexadecimal (base 16) | 25C3 |
| Base 3 | 111021001 |
| As time | 9667 seconds = 2 h 41 min 7 s |
Is 9667 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9667 ÷ 7 = 1381) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9667 a prime number?
No. 9667 = 7 × 1381, so it is divisible by 7.
What are the factors of 9667?
1, 7, 1381, 9667.
What is 9667 in binary?
10010111000011 (hexadecimal 25C3, octal 22703).
What is the square root of 9667?
About 98.3209.
Is 9667 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9667?
9667 is a semiprime: 7 × 1381, the product of two primes.