The number 88821
88821 is a composite number with 12 divisors. Its prime factorisation is × 71 × 139. Divisors (12): 1, 3, 9, 71, 139, 213, 417, 639, 1251, 9869, 29607, 88821.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88821 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88821 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 88821 itself that is 42219, so 88821 is deficient (42219 is less than 88821). Euler's totient φ(88821) = 57960 numbers up to 88821 share no factor with it.
- 4
The digits of 88821 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88821 = 3^{2} \times 71 \times 139 \]88821 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 57960 |
| Square | 7889170041 |
| Cube | 700723972211661 |
| Square root | 298.028522 (= 3√9869) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8821 × |
88821 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand eight hundred and twenty-one |
| Binary (base 2) | 10101101011110101 |
| Octal (base 8) | 255365 |
| Hexadecimal (base 16) | 15AF5 |
| Base 3 | 11111211200 |
| As time | 88821 seconds = 24 h 40 min 21 s |
Is 88821 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 | Yes (88821 ÷ 3 = 29607) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88821 ÷ 9 = 9869) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88821 a prime number?
No. 88821 = × 71 × 139, so it is divisible by 3.
What are the factors of 88821?
1, 3, 9, 71, 139, 213, 417, 639, 1251, 9869, 29607, 88821.
What is 88821 in binary?
10101101011110101 (hexadecimal 15AF5, octal 255365).
What is the square root of 88821?
About 298.0285, exactly 3√9869.
Is 88821 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88821?
It is a composite number with 12 divisors.