The number 9506
9506 is a composite number with 12 divisors. Its prime factorisation is 2 × × 97. Divisors (12): 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9506 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9506 is composite. Its prime factorisation is
- 3
The divisors add up to 16758; without 9506 itself that is 7252, so 9506 is deficient (7252 is less than 9506). Euler's totient φ(9506) = 4032 numbers up to 9506 share no factor with it.
- 4
The digits of 9506 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9506 = 2 \times 7^{2} \times 97 \]9506 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16758 |
| Euler totient φ(n) | 4032 |
| Square | 90364036 |
| Cube | 859000526216 |
| Square root | 97.498718 (= 7√194) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 9.506 × |
9506 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and six |
| Binary (base 2) | 10010100100010 |
| Octal (base 8) | 22442 |
| Hexadecimal (base 16) | 2522 |
| Base 3 | 111001002 |
| As time | 9506 seconds = 2 h 38 min 26 s |
Is 9506 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9506 ÷ 2 = 4753) | 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 2) | 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 | Yes (9506 ÷ 7 = 1358) | 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 2) | 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 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9506 a prime number?
No. 9506 = 2 × × 97, so it is divisible by 2.
What are the factors of 9506?
1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506.
What is 9506 in binary?
10010100100010 (hexadecimal 2522, octal 22442).
What is the square root of 9506?
About 97.4987, exactly 7√194.
Is 9506 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9506?
It is a composite number with 12 divisors.