The number 9501
9501 is a composite number with 4 divisors. Its prime factorisation is 3 × 3167. Divisors (4): 1, 3, 3167, 9501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9501: a semiprime: 3 × 3167, the product of two primes.
- 2
9501 is composite. Its prime factorisation is
- 3
The divisors add up to 12672; without 9501 itself that is 3171, so 9501 is deficient (3171 is less than 9501). Euler's totient φ(9501) = 6332 numbers up to 9501 share no factor with it.
- 4
The digits of 9501 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9501 = 3 \times 3167 \]
9501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12672 |
| Euler totient φ(n) | 6332 |
| Square | 90269001 |
| Cube | 857645778501 |
| Square root | 97.473073 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.501 × |
9501 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and one |
| Binary (base 2) | 10010100011101 |
| Octal (base 8) | 22435 |
| Hexadecimal (base 16) | 251D |
| Base 3 | 111000220 |
| As time | 9501 seconds = 2 h 38 min 21 s |
Is 9501 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 (9501 ÷ 3 = 3167) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9501 a prime number?
No. 9501 = 3 × 3167, so it is divisible by 3.
What are the factors of 9501?
1, 3, 3167, 9501.
What is 9501 in binary?
10010100011101 (hexadecimal 251D, octal 22435).
What is the square root of 9501?
About 97.4731.
Is 9501 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9501?
9501 is a semiprime: 3 × 3167, the product of two primes.