The number 89003
89003 is the 8620th prime number. Its only divisors are 1 and 89003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 89003: the 8620th prime number.
- 2
89003 is prime, so its only factors are 1 and 89003. It is the 8620th prime; the next prime is 89009 and the one before is 88997.
- 3
The divisors add up to 89004; without 89003 itself that is 1, so 89003 is deficient (1 is less than 89003). Euler's totient φ(89003) = 89002 numbers up to 89003 share no factor with it.
- 4
The digits of 89003 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 120 steps to reach 1.
89003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 89004 |
| Euler totient φ(n) | 89002 |
| Square | 7921534009 |
| Cube | 705040291403027 |
| Square root | 298.333706 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.9003 × |
89003 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and three |
| Binary (base 2) | 10101101110101011 |
| Octal (base 8) | 255653 |
| Hexadecimal (base 16) | 15BAB |
| Base 3 | 11112002102 |
| As time | 89003 seconds = 24 h 43 min 23 s |
Is 89003 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 3) | 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 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89003 a prime number?
Yes. 89003 is divisible only by 1 and itself.
What are the factors of 89003?
1, 89003.
What is 89003 in binary?
10101101110101011 (hexadecimal 15BAB, octal 255653).
What is the square root of 89003?
About 298.3337.
Is 89003 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 89003?
89003 is the 8620th prime number.