The number 84080
84080 is a composite number with 20 divisors. Its prime factorisation is × 5 × 1051. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1051, 2102, 4204, 5255, 8408, 10510 … 84080.
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How to work it out
- 1
What is special about 84080: a Harshad number: divisible by its digit sum 20.
- 2
84080 is composite. Its prime factorisation is
- 3
The divisors add up to 195672; without 84080 itself that is 111592, so 84080 is abundant (111592 is more than 84080). Euler's totient φ(84080) = 33600 numbers up to 84080 share no factor with it.
- 4
The digits of 84080 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84080 = 2^{4} \times 5 \times 1051 \]84080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 195672 |
| Euler totient φ(n) | 33600 |
| Square | 7069446400 |
| Cube | 594399053312000 |
| Square root | 289.965515 (= 4√5255) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.408 × |
84080 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and eighty |
| Binary (base 2) | 10100100001110000 |
| Octal (base 8) | 244160 |
| Hexadecimal (base 16) | 14870 |
| Base 3 | 11021100002 |
| As time | 84080 seconds = 23 h 21 min 20 s |
Is 84080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84080 ÷ 2 = 42040) | 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 (84080 ÷ 4 = 21020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84080 ÷ 5 = 16816) | 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 | 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 (84080 ÷ 8 = 10510) | 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 | Yes (84080 ÷ 10 = 8408) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 84080 a prime number?
No. 84080 = × 5 × 1051, so it is divisible by 2.
What are the factors of 84080?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1051, 2102, 4204, 5255, 8408, 10510, 16816, 21020, 42040, 84080.
What is 84080 in binary?
10100100001110000 (hexadecimal 14870, octal 244160).
What is the square root of 84080?
About 289.9655, exactly 4√5255.
Is 84080 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 84080?
84080 is a Harshad number: divisible by its digit sum 20.