The number 88104
88104 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3671. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3671, 7342, 11013, 14684, 22026, 29368, 44052, 88104.
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How to work it out
- 1
88104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88104 is composite. Its prime factorisation is
- 3
The divisors add up to 220320; without 88104 itself that is 132216, so 88104 is abundant (132216 is more than 88104). Euler's totient φ(88104) = 29360 numbers up to 88104 share no factor with it.
- 4
The digits of 88104 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88104 = 2^{3} \times 3 \times 3671 \]88104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 220320 |
| Euler totient φ(n) | 29360 |
| Square | 7762314816 |
| Cube | 683890984548864 |
| Square root | 296.823180 (= 2√22026) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8104 × |
88104 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and four |
| Binary (base 2) | 10101100000101000 |
| Octal (base 8) | 254050 |
| Hexadecimal (base 16) | 15828 |
| Base 3 | 11110212010 |
| As time | 88104 seconds = 24 h 28 min 24 s |
Is 88104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88104 ÷ 2 = 44052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88104 ÷ 3 = 29368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88104 ÷ 4 = 22026) | 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 (88104 ÷ 6 = 14684) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (88104 ÷ 8 = 11013) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88104 ÷ 12 = 7342) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88104 a prime number?
No. 88104 = × 3 × 3671, so it is divisible by 2.
What are the factors of 88104?
1, 2, 3, 4, 6, 8, 12, 24, 3671, 7342, 11013, 14684, 22026, 29368, 44052, 88104.
What is 88104 in binary?
10101100000101000 (hexadecimal 15828, octal 254050).
What is the square root of 88104?
About 296.8232, exactly 2√22026.
Is 88104 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 88104?
It is a composite number with 16 divisors.