The number 80104
80104 is a composite number with 32 divisors. Its prime factorisation is × 17 × 19 × 31. Divisors (32): 1, 2, 4, 8, 17, 19, 31, 34, 38, 62, 68, 76, 124, 136, 152, 248 … 80104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80104 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 80104 itself that is 92696, so 80104 is abundant (92696 is more than 80104). Euler's totient φ(80104) = 34560 numbers up to 80104 share no factor with it.
- 4
The digits of 80104 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80104 = 2^{3} \times 17 \times 19 \times 31 \]80104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 34560 |
| Square | 6416650816 |
| Cube | 513999396964864 |
| Square root | 283.026501 (= 2√20026) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0104 × |
80104 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and four |
| Binary (base 2) | 10011100011101000 |
| Octal (base 8) | 234350 |
| Hexadecimal (base 16) | 138E8 |
| Base 3 | 11001212211 |
| As time | 80104 seconds = 22 h 15 min 4 s |
Is 80104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80104 ÷ 2 = 40052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80104 ÷ 4 = 20026) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (80104 ÷ 8 = 10013) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80104 a prime number?
No. 80104 = × 17 × 19 × 31, so it is divisible by 2.
What are the factors of 80104?
1, 2, 4, 8, 17, 19, 31, 34, 38, 62, 68, 76, 124, 136, 152, 248, 323, 527, 589, 646, 1054, 1178, 1292, 2108, 2356, 2584, 4216, 4712, 10013, 20026, 40052, 80104.
What is 80104 in binary?
10011100011101000 (hexadecimal 138E8, octal 234350).
What is the square root of 80104?
About 283.0265, exactly 2√20026.
Is 80104 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 80104?
It is a composite number with 32 divisors.