The number 84027
84027 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 757. Divisors (8): 1, 3, 37, 111, 757, 2271, 28009, 84027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84027: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84027 is composite. Its prime factorisation is
- 3
The divisors add up to 115216; without 84027 itself that is 31189, so 84027 is deficient (31189 is less than 84027). Euler's totient φ(84027) = 54432 numbers up to 84027 share no factor with it.
- 4
The digits of 84027 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84027 = 3 \times 37 \times 757 \]
84027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 115216 |
| Euler totient φ(n) | 54432 |
| Square | 7060536729 |
| Cube | 593275719727683 |
| Square root | 289.874111 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.4027 × |
84027 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and twenty-seven |
| Binary (base 2) | 10100100000111011 |
| Octal (base 8) | 244073 |
| Hexadecimal (base 16) | 1483B |
| Base 3 | 11021021010 |
| As time | 84027 seconds = 23 h 20 min 27 s |
Is 84027 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84027 ÷ 3 = 28009) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84027 a prime number?
No. 84027 = 3 × 37 × 757, so it is divisible by 3.
What are the factors of 84027?
1, 3, 37, 111, 757, 2271, 28009, 84027.
What is 84027 in binary?
10100100000111011 (hexadecimal 1483B, octal 244073).
What is the square root of 84027?
About 289.8741.
Is 84027 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 84027?
84027 is a happy number: repeatedly adding the squares of its digits reaches 1.