The number 80124
80124 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 607. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 607, 1214, 1821, 2428 … 80124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80124 is composite. Its prime factorisation is
- 3
The divisors add up to 204288; without 80124 itself that is 124164, so 80124 is abundant (124164 is more than 80124). Euler's totient φ(80124) = 24240 numbers up to 80124 share no factor with it.
- 4
The digits of 80124 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80124 = 2^{2} \times 3 \times 11 \times 607 \]80124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 204288 |
| Euler totient φ(n) | 24240 |
| Square | 6419855376 |
| Cube | 514384492146624 |
| Square root | 283.061831 (= 2√20031) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0124 × |
80124 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and twenty-four |
| Binary (base 2) | 10011100011111100 |
| Octal (base 8) | 234374 |
| Hexadecimal (base 16) | 138FC |
| Base 3 | 11001220120 |
| As time | 80124 seconds = 22 h 15 min 24 s |
Is 80124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80124 ÷ 2 = 40062) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80124 ÷ 3 = 26708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80124 ÷ 4 = 20031) | 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 (80124 ÷ 6 = 13354) | 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 | 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 | Yes (80124 ÷ 11 = 7284) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80124 ÷ 12 = 6677) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80124 a prime number?
No. 80124 = × 3 × 11 × 607, so it is divisible by 2.
What are the factors of 80124?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 607, 1214, 1821, 2428, 3642, 6677, 7284, 13354, 20031, 26708, 40062, 80124.
What is 80124 in binary?
10011100011111100 (hexadecimal 138FC, octal 234374).
What is the square root of 80124?
About 283.0618, exactly 2√20031.
Is 80124 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80124?
It is a composite number with 24 divisors.