The number 88404
88404 is a composite number with 24 divisors. Its prime factorisation is × 3 × 53 × 139. Divisors (24): 1, 2, 3, 4, 6, 12, 53, 106, 139, 159, 212, 278, 318, 417, 556, 636 … 88404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88404 is composite. Its prime factorisation is
- 3
The divisors add up to 211680; without 88404 itself that is 123276, so 88404 is abundant (123276 is more than 88404). Euler's totient φ(88404) = 28704 numbers up to 88404 share no factor with it.
- 4
The digits of 88404 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88404 = 2^{2} \times 3 \times 53 \times 139 \]88404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 211680 |
| Euler totient φ(n) | 28704 |
| Square | 7815267216 |
| Cube | 690900882963264 |
| Square root | 297.328102 (= 2√22101) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8404 × |
88404 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and four |
| Binary (base 2) | 10101100101010100 |
| Octal (base 8) | 254524 |
| Hexadecimal (base 16) | 15954 |
| Base 3 | 11111021020 |
| As time | 88404 seconds = 24 h 33 min 24 s |
Is 88404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88404 ÷ 2 = 44202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88404 ÷ 3 = 29468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88404 ÷ 4 = 22101) | 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 | Yes (88404 ÷ 6 = 14734) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 (88404 ÷ 12 = 7367) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88404 a prime number?
No. 88404 = × 3 × 53 × 139, so it is divisible by 2.
What are the factors of 88404?
1, 2, 3, 4, 6, 12, 53, 106, 139, 159, 212, 278, 318, 417, 556, 636, 834, 1668, 7367, 14734, 22101, 29468, 44202, 88404.
What is 88404 in binary?
10101100101010100 (hexadecimal 15954, octal 254524).
What is the square root of 88404?
About 297.3281, exactly 2√22101.
Is 88404 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 88404?
It is a composite number with 24 divisors.