The number 88801
88801 is a twin prime (88799 and 88801 are both prime) and the 8600th prime number. Its only divisors are 1 and 88801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88801: a twin prime (88799 and 88801 are both prime); the 8600th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88801 is prime, so its only factors are 1 and 88801. It is the 8600th prime; the next prime is 88807 and the one before is 88799.
- 3
The divisors add up to 88802; without 88801 itself that is 1, so 88801 is deficient (1 is less than 88801). Euler's totient φ(88801) = 88800 numbers up to 88801 share no factor with it.
- 4
The digits of 88801 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
88801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 88802 |
| Euler totient φ(n) | 88800 |
| Square | 7885617601 |
| Cube | 700250728586401 |
| Square root | 297.994966 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.8801 × |
88801 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand eight hundred and one |
| Binary (base 2) | 10101101011100001 |
| Octal (base 8) | 255341 |
| Hexadecimal (base 16) | 15AE1 |
| Base 3 | 11111210221 |
| As time | 88801 seconds = 24 h 40 min 1 s |
Is 88801 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88801 a prime number?
Yes. 88801 is divisible only by 1 and itself.
What are the factors of 88801?
1, 88801.
What is 88801 in binary?
10101101011100001 (hexadecimal 15AE1, octal 255341).
What is the square root of 88801?
About 297.9950.
Is 88801 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 88801?
88801 is a twin prime (88799 and 88801 are both prime); the 8600th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.