The number 80024
80024 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1429. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1429, 2858, 5716, 10003, 11432, 20006, 40012, 80024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80024: a Harshad number: divisible by its digit sum 14.
- 2
80024 is composite. Its prime factorisation is
- 3
The divisors add up to 171600; without 80024 itself that is 91576, so 80024 is abundant (91576 is more than 80024). Euler's totient φ(80024) = 34272 numbers up to 80024 share no factor with it.
- 4
The digits of 80024 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80024 = 2^{3} \times 7 \times 1429 \]80024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 171600 |
| Euler totient φ(n) | 34272 |
| Square | 6403840576 |
| Cube | 512460938253824 |
| Square root | 282.885136 (= 2√20006) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0024 × |
80024 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and twenty-four |
| Binary (base 2) | 10011100010011000 |
| Octal (base 8) | 234230 |
| Hexadecimal (base 16) | 13898 |
| Base 3 | 11001202212 |
| As time | 80024 seconds = 22 h 13 min 44 s |
Is 80024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80024 ÷ 2 = 40012) | 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 (80024 ÷ 4 = 20006) | 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 (80024 ÷ 7 = 11432) | 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 (80024 ÷ 8 = 10003) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | 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 80024 a prime number?
No. 80024 = × 7 × 1429, so it is divisible by 2.
What are the factors of 80024?
1, 2, 4, 7, 8, 14, 28, 56, 1429, 2858, 5716, 10003, 11432, 20006, 40012, 80024.
What is 80024 in binary?
10011100010011000 (hexadecimal 13898, octal 234230).
What is the square root of 80024?
About 282.8851, exactly 2√20006.
Is 80024 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 80024?
80024 is a Harshad number: divisible by its digit sum 14.