The number 95009
95009 is the 9159th prime number. Its only divisors are 1 and 95009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 95009: the 9159th prime number.
- 2
95009 is prime, so its only factors are 1 and 95009. It is the 9159th prime; the next prime is 95021 and the one before is 95003.
- 3
The divisors add up to 95010; without 95009 itself that is 1, so 95009 is deficient (1 is less than 95009). Euler's totient φ(95009) = 95008 numbers up to 95009 share no factor with it.
- 4
The digits of 95009 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
95009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 95010 |
| Euler totient φ(n) | 95008 |
| Square | 9026710081 |
| Cube | 857618698085729 |
| Square root | 308.235300 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.5009 × |
95009 in other forms
| Form | Value |
|---|---|
| In words | ninety-five thousand and nine |
| Binary (base 2) | 10111001100100001 |
| Octal (base 8) | 271441 |
| Hexadecimal (base 16) | 17321 |
| Base 3 | 11211022212 |
| As time | 95009 seconds = 26 h 23 min 29 s |
Is 95009 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 5) | 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 1) | 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 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 95009 a prime number?
Yes. 95009 is divisible only by 1 and itself.
What are the factors of 95009?
1, 95009.
What is 95009 in binary?
10111001100100001 (hexadecimal 17321, octal 271441).
What is the square root of 95009?
About 308.2353.
Is 95009 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 95009?
95009 is the 9159th prime number.