The number 84140
84140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 601. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 601, 1202, 2404, 3005 … 84140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84140: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84140 is composite. Its prime factorisation is
- 3
The divisors add up to 202272; without 84140 itself that is 118132, so 84140 is abundant (118132 is more than 84140). Euler's totient φ(84140) = 28800 numbers up to 84140 share no factor with it.
- 4
The digits of 84140 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84140 = 2^{2} \times 5 \times 7 \times 601 \]84140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 202272 |
| Euler totient φ(n) | 28800 |
| Square | 7079539600 |
| Cube | 595672461944000 |
| Square root | 290.068957 (= 2√21035) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.414 × |
84140 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand one hundred and forty |
| Binary (base 2) | 10100100010101100 |
| Octal (base 8) | 244254 |
| Hexadecimal (base 16) | 148AC |
| Base 3 | 11021102022 |
| As time | 84140 seconds = 23 h 22 min 20 s |
Is 84140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84140 ÷ 2 = 42070) | 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 (84140 ÷ 4 = 21035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84140 ÷ 5 = 16828) | 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 (84140 ÷ 7 = 12020) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (84140 ÷ 10 = 8414) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 84140 a prime number?
No. 84140 = × 5 × 7 × 601, so it is divisible by 2.
What are the factors of 84140?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 601, 1202, 2404, 3005, 4207, 6010, 8414, 12020, 16828, 21035, 42070, 84140.
What is 84140 in binary?
10100100010101100 (hexadecimal 148AC, octal 244254).
What is the square root of 84140?
About 290.0690, exactly 2√21035.
Is 84140 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 84140?
84140 is a happy number: repeatedly adding the squares of its digits reaches 1.