The number 88007
88007 is the 8546th prime number. Its only divisors are 1 and 88007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88007: the 8546th prime number.
- 2
88007 is prime, so its only factors are 1 and 88007. It is the 8546th prime; the next prime is 88019 and the one before is 88003.
- 3
The divisors add up to 88008; without 88007 itself that is 1, so 88007 is deficient (1 is less than 88007). Euler's totient φ(88007) = 88006 numbers up to 88007 share no factor with it.
- 4
The digits of 88007 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 195 steps to reach 1.
88007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 88008 |
| Euler totient φ(n) | 88006 |
| Square | 7745232049 |
| Cube | 681634636936343 |
| Square root | 296.659738 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8007 × |
88007 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and seven |
| Binary (base 2) | 10101011111000111 |
| Octal (base 8) | 253707 |
| Hexadecimal (base 16) | 157C7 |
| Base 3 | 11110201112 |
| As time | 88007 seconds = 24 h 26 min 47 s |
Is 88007 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 2) | 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 3) | 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 5) | 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 7) | 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 88007 a prime number?
Yes. 88007 is divisible only by 1 and itself.
What are the factors of 88007?
1, 88007.
What is 88007 in binary?
10101011111000111 (hexadecimal 157C7, octal 253707).
What is the square root of 88007?
About 296.6597.
Is 88007 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 88007?
88007 is the 8546th prime number.