The number 9500
9500 is a composite number with 24 divisors. Its prime factorisation is × × 19. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250 … 9500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9500 is composite. Its prime factorisation is
- 3
The divisors add up to 21840; without 9500 itself that is 12340, so 9500 is abundant (12340 is more than 9500). Euler's totient φ(9500) = 3600 numbers up to 9500 share no factor with it.
- 4
The digits of 9500 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9500 = 2^{2} \times 5^{3} \times 19 \]9500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 21840 |
| Euler totient φ(n) | 3600 |
| Square | 90250000 |
| Cube | 857375000000 |
| Square root | 97.467943 (= 10√95) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.5 × |
9500 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred |
| Binary (base 2) | 10010100011100 |
| Octal (base 8) | 22434 |
| Hexadecimal (base 16) | 251C |
| Base 3 | 111000212 |
| As time | 9500 seconds = 2 h 38 min 20 s |
Is 9500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9500 ÷ 2 = 4750) | 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 | Yes (9500 ÷ 4 = 2375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9500 ÷ 5 = 1900) | 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 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9500 ÷ 10 = 950) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9500 a prime number?
No. 9500 = × × 19, so it is divisible by 2.
What are the factors of 9500?
1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750, 9500.
What is 9500 in binary?
10010100011100 (hexadecimal 251C, octal 22434).
What is the square root of 9500?
About 97.4679, exactly 10√95.
Is 9500 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 9500?
It is a composite number with 24 divisors.