The number 88424
88424 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1579. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1579, 3158, 6316, 11053, 12632, 22106, 44212, 88424.
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How to work it out
- 1
88424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88424 is composite. Its prime factorisation is
- 3
The divisors add up to 189600; without 88424 itself that is 101176, so 88424 is abundant (101176 is more than 88424). Euler's totient φ(88424) = 37872 numbers up to 88424 share no factor with it.
- 4
The digits of 88424 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88424 = 2^{3} \times 7 \times 1579 \]88424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 189600 |
| Euler totient φ(n) | 37872 |
| Square | 7818803776 |
| Cube | 691369905089024 |
| Square root | 297.361733 (= 2√22106) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.8424 × |
88424 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and twenty-four |
| Binary (base 2) | 10101100101101000 |
| Octal (base 8) | 254550 |
| Hexadecimal (base 16) | 15968 |
| Base 3 | 11111021222 |
| As time | 88424 seconds = 24 h 33 min 44 s |
Is 88424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88424 ÷ 2 = 44212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88424 ÷ 4 = 22106) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88424 ÷ 7 = 12632) | 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 (88424 ÷ 8 = 11053) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88424 a prime number?
No. 88424 = × 7 × 1579, so it is divisible by 2.
What are the factors of 88424?
1, 2, 4, 7, 8, 14, 28, 56, 1579, 3158, 6316, 11053, 12632, 22106, 44212, 88424.
What is 88424 in binary?
10101100101101000 (hexadecimal 15968, octal 254550).
What is the square root of 88424?
About 297.3617, exactly 2√22106.
Is 88424 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 88424?
It is a composite number with 16 divisors.