The number 89009
89009 is the 8621st prime number. Its only divisors are 1 and 89009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 89009: the 8621st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
89009 is prime, so its only factors are 1 and 89009. It is the 8621st prime; the next prime is 89017 and the one before is 89003.
- 3
The divisors add up to 89010; without 89009 itself that is 1, so 89009 is deficient (1 is less than 89009). Euler's totient φ(89009) = 89008 numbers up to 89009 share no factor with it.
- 4
The digits of 89009 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
89009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 89010 |
| Euler totient φ(n) | 89008 |
| Square | 7922602081 |
| Cube | 705182888627729 |
| Square root | 298.343761 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.9009 × |
89009 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and nine |
| Binary (base 2) | 10101101110110001 |
| Octal (base 8) | 255661 |
| Hexadecimal (base 16) | 15BB1 |
| Base 3 | 11112002122 |
| As time | 89009 seconds = 24 h 43 min 29 s |
Is 89009 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 4) | 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 8) | 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 8) | 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 89009 a prime number?
Yes. 89009 is divisible only by 1 and itself.
What are the factors of 89009?
1, 89009.
What is 89009 in binary?
10101101110110001 (hexadecimal 15BB1, octal 255661).
What is the square root of 89009?
About 298.3438.
Is 89009 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 89009?
89009 is the 8621st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.