The number 88009
88009 is a composite number with 8 divisors. Its prime factorisation is 17 × 31 × 167. Divisors (8): 1, 17, 31, 167, 527, 2839, 5177, 88009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88009 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 88009 itself that is 8759, so 88009 is deficient (8759 is less than 88009). Euler's totient φ(88009) = 79680 numbers up to 88009 share no factor with it.
- 4
The digits of 88009 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88009 = 17 \times 31 \times 167 \]
88009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 79680 |
| Square | 7745584081 |
| Cube | 681681109384729 |
| Square root | 296.663109 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.8009 × |
88009 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and nine |
| Binary (base 2) | 10101011111001001 |
| Octal (base 8) | 253711 |
| Hexadecimal (base 16) | 157C9 |
| Base 3 | 11110201121 |
| As time | 88009 seconds = 24 h 26 min 49 s |
Is 88009 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 4) | 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 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 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 9) | 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 88009 a prime number?
No. 88009 = 17 × 31 × 167, so it is divisible by 17.
What are the factors of 88009?
1, 17, 31, 167, 527, 2839, 5177, 88009.
What is 88009 in binary?
10101011111001001 (hexadecimal 157C9, octal 253711).
What is the square root of 88009?
About 296.6631.
Is 88009 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 88009?
It is a composite number with 8 divisors.