The number 88004
88004 is a composite number with 18 divisors. Its prime factorisation is × × 449. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 449, 898, 1796, 3143, 6286, 12572, 22001 … 88004.
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How to work it out
- 1
88004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88004 is composite. Its prime factorisation is
- 3
The divisors add up to 179550; without 88004 itself that is 91546, so 88004 is abundant (91546 is more than 88004). Euler's totient φ(88004) = 37632 numbers up to 88004 share no factor with it.
- 4
The digits of 88004 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88004 = 2^{2} \times 7^{2} \times 449 \]88004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 179550 |
| Euler totient φ(n) | 37632 |
| Square | 7744704016 |
| Cube | 681564932224064 |
| Square root | 296.654681 (= 14√449) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.8004 × |
88004 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and four |
| Binary (base 2) | 10101011111000100 |
| Octal (base 8) | 253704 |
| Hexadecimal (base 16) | 157C4 |
| Base 3 | 11110201102 |
| As time | 88004 seconds = 24 h 26 min 44 s |
Is 88004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88004 ÷ 2 = 44002) | 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 (88004 ÷ 4 = 22001) | 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 (88004 ÷ 7 = 12572) | 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 2) | 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 4) | 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 88004 a prime number?
No. 88004 = × × 449, so it is divisible by 2.
What are the factors of 88004?
1, 2, 4, 7, 14, 28, 49, 98, 196, 449, 898, 1796, 3143, 6286, 12572, 22001, 44002, 88004.
What is 88004 in binary?
10101011111000100 (hexadecimal 157C4, octal 253704).
What is the square root of 88004?
About 296.6547, exactly 14√449.
Is 88004 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88004?
It is a composite number with 18 divisors.