The number 89008
89008 is a composite number with 10 divisors. Its prime factorisation is × 5563. Divisors (10): 1, 2, 4, 8, 16, 5563, 11126, 22252, 44504, 89008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89008 is composite. Its prime factorisation is
- 3
The divisors add up to 172484; without 89008 itself that is 83476, so 89008 is deficient (83476 is less than 89008). Euler's totient φ(89008) = 44496 numbers up to 89008 share no factor with it.
- 4
The digits of 89008 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89008 = 2^{4} \times 5563 \]89008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 172484 |
| Euler totient φ(n) | 44496 |
| Square | 7922424064 |
| Cube | 705159121088512 |
| Square root | 298.342086 (= 4√5563) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.9008 × |
89008 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and eight |
| Binary (base 2) | 10101101110110000 |
| Octal (base 8) | 255660 |
| Hexadecimal (base 16) | 15BB0 |
| Base 3 | 11112002121 |
| As time | 89008 seconds = 24 h 43 min 28 s |
Is 89008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89008 ÷ 2 = 44504) | 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 | Yes (89008 ÷ 4 = 22252) | 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 4) | 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 | Yes (89008 ÷ 8 = 11126) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89008 a prime number?
No. 89008 = × 5563, so it is divisible by 2.
What are the factors of 89008?
1, 2, 4, 8, 16, 5563, 11126, 22252, 44504, 89008.
What is 89008 in binary?
10101101110110000 (hexadecimal 15BB0, octal 255660).
What is the square root of 89008?
About 298.3421, exactly 4√5563.
Is 89008 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 89008?
It is a composite number with 10 divisors.