The number 9947
9947 is a composite number with 8 divisors. Its prime factorisation is Ć 29. Divisors (8): 1, 7, 29, 49, 203, 343, 1421, 9947.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9947: a Harshad number: divisible by its digit sum 29.
- 2
9947 is composite. Its prime factorisation is
- 3
The divisors add up to 12000; without 9947 itself that is 2053, so 9947 is deficient (2053 is less than 9947). Euler's totient Ļ(9947) = 8232 numbers up to 9947 share no factor with it.
- 4
The digits of 9947 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9947 = 7^{3} \times 29 \]9947 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12000 |
| Euler totient Ļ(n) | 8232 |
| Square | 98942809 |
| Cube | 984184121123 |
| Square root | 99.734648 (= 7ā203) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.947 Ć |
9947 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty-seven |
| Binary (base 2) | 10011011011011 |
| Octal (base 8) | 23333 |
| Hexadecimal (base 16) | 26DB |
| Base 3 | 111122102 |
| As time | 9947 seconds = 2 h 45 min 47 s |
Is 9947 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9947 Ć· 7 = 1421) | 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 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9947 a prime number?
No. 9947 = Ć 29, so it is divisible by 7.
What are the factors of 9947?
1, 7, 29, 49, 203, 343, 1421, 9947.
What is 9947 in binary?
10011011011011 (hexadecimal 26DB, octal 23333).
What is the square root of 9947?
About 99.7346, exactly 7ā203.
Is 9947 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9947?
9947 is a Harshad number: divisible by its digit sum 29.