The number 88428
88428 is a composite number with 12 divisors. Its prime factorisation is × 3 × 7369. Divisors (12): 1, 2, 3, 4, 6, 12, 7369, 14738, 22107, 29476, 44214, 88428.
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How to work it out
- 1
88428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88428 is composite. Its prime factorisation is
- 3
The divisors add up to 206360; without 88428 itself that is 117932, so 88428 is abundant (117932 is more than 88428). Euler's totient φ(88428) = 29472 numbers up to 88428 share no factor with it.
- 4
The digits of 88428 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88428 = 2^{2} \times 3 \times 7369 \]88428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 206360 |
| Euler totient φ(n) | 29472 |
| Square | 7819511184 |
| Cube | 691463734978752 |
| Square root | 297.368458 (= 2√22107) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8428 × |
88428 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and twenty-eight |
| Binary (base 2) | 10101100101101100 |
| Octal (base 8) | 254554 |
| Hexadecimal (base 16) | 1596C |
| Base 3 | 11111022010 |
| As time | 88428 seconds = 24 h 33 min 48 s |
Is 88428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88428 ÷ 2 = 44214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88428 ÷ 3 = 29476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88428 ÷ 4 = 22107) | 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 (88428 ÷ 6 = 14738) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88428 ÷ 12 = 7369) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88428 a prime number?
No. 88428 = × 3 × 7369, so it is divisible by 2.
What are the factors of 88428?
1, 2, 3, 4, 6, 12, 7369, 14738, 22107, 29476, 44214, 88428.
What is 88428 in binary?
10101100101101100 (hexadecimal 1596C, octal 254554).
What is the square root of 88428?
About 297.3685, exactly 2√22107.
Is 88428 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 88428?
It is a composite number with 12 divisors.