The number 84040
84040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 191. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 191, 220 … 84040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84040 is composite. Its prime factorisation is
- 3
The divisors add up to 207360; without 84040 itself that is 123320, so 84040 is abundant (123320 is more than 84040). Euler's totient φ(84040) = 30400 numbers up to 84040 share no factor with it.
- 4
The digits of 84040 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84040 = 2^{3} \times 5 \times 11 \times 191 \]84040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 207360 |
| Euler totient φ(n) | 30400 |
| Square | 7062721600 |
| Cube | 593551123264000 |
| Square root | 289.896533 (= 2√21010) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.404 × |
84040 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and forty |
| Binary (base 2) | 10100100001001000 |
| Octal (base 8) | 244110 |
| Hexadecimal (base 16) | 14848 |
| Base 3 | 11021021121 |
| As time | 84040 seconds = 23 h 20 min 40 s |
Is 84040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84040 ÷ 2 = 42020) | 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 (84040 ÷ 4 = 21010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84040 ÷ 5 = 16808) | 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 5) | 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 (84040 ÷ 8 = 10505) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (84040 ÷ 10 = 8404) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (84040 ÷ 11 = 7640) | 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 84040 a prime number?
No. 84040 = × 5 × 11 × 191, so it is divisible by 2.
What are the factors of 84040?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 191, 220, 382, 440, 764, 955, 1528, 1910, 2101, 3820, 4202, 7640, 8404, 10505, 16808, 21010, 42020, 84040.
What is 84040 in binary?
10100100001001000 (hexadecimal 14848, octal 244110).
What is the square root of 84040?
About 289.8965, exactly 2√21010.
Is 84040 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 84040?
It is a composite number with 32 divisors.