The number 90007
90007 is the 8715th prime number. Its only divisors are 1 and 90007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90007: the 8715th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
90007 is prime, so its only factors are 1 and 90007. It is the 8715th prime; the next prime is 90011 and the one before is 90001.
- 3
The divisors add up to 90008; without 90007 itself that is 1, so 90007 is deficient (1 is less than 90007). Euler's totient φ(90007) = 90006 numbers up to 90007 share no factor with it.
- 4
The digits of 90007 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
90007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 90008 |
| Euler totient φ(n) | 90006 |
| Square | 8101260049 |
| Cube | 729170113230343 |
| Square root | 300.011666 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0007 × |
90007 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and seven |
| Binary (base 2) | 10101111110010111 |
| Octal (base 8) | 257627 |
| Hexadecimal (base 16) | 15F97 |
| Base 3 | 11120110121 |
| As time | 90007 seconds = 25 h 0 min 7 s |
Is 90007 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 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90007 a prime number?
Yes. 90007 is divisible only by 1 and itself.
What are the factors of 90007?
1, 90007.
What is 90007 in binary?
10101111110010111 (hexadecimal 15F97, octal 257627).
What is the square root of 90007?
About 300.0117.
Is 90007 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 90007?
90007 is the 8715th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.