The number 89988
89988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 7499. Divisors (12): 1, 2, 3, 4, 6, 12, 7499, 14998, 22497, 29996, 44994, 89988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89988 is composite. Its prime factorisation is
- 3
The divisors add up to 210000; without 89988 itself that is 120012, so 89988 is abundant (120012 is more than 89988). Euler's totient φ(89988) = 29992 numbers up to 89988 share no factor with it.
- 4
The digits of 89988 add up to 42, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89988 = 2^{2} \times 3 \times 7499 \]89988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 210000 |
| Euler totient φ(n) | 29992 |
| Square | 8097840144 |
| Cube | 728708438878272 |
| Square root | 299.979999 (= 2√22497) |
| Digit sum / digital root | 42 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.9988 × |
89988 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand nine hundred and eighty-eight |
| Binary (base 2) | 10101111110000100 |
| Octal (base 8) | 257604 |
| Hexadecimal (base 16) | 15F84 |
| Base 3 | 11120102220 |
| As time | 89988 seconds = 24 h 59 min 48 s |
Is 89988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89988 ÷ 2 = 44994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (89988 ÷ 3 = 29996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (89988 ÷ 4 = 22497) | 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 | Yes (89988 ÷ 6 = 14998) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (89988 ÷ 12 = 7499) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89988 a prime number?
No. 89988 = × 3 × 7499, so it is divisible by 2.
What are the factors of 89988?
1, 2, 3, 4, 6, 12, 7499, 14998, 22497, 29996, 44994, 89988.
What is 89988 in binary?
10101111110000100 (hexadecimal 15F84, octal 257604).
What is the square root of 89988?
About 299.9800, exactly 2√22497.
Is 89988 divisible by 3?
Yes. Its digits add up to 42, a multiple of 3.
What is special about the number 89988?
It is a composite number with 12 divisors.