The number 84014
84014 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 353. Divisors (16): 1, 2, 7, 14, 17, 34, 119, 238, 353, 706, 2471, 4942, 6001, 12002, 42007, 84014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84014: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
84014 is composite. Its prime factorisation is
- 3
The divisors add up to 152928; without 84014 itself that is 68914, so 84014 is deficient (68914 is less than 84014). Euler's totient φ(84014) = 33792 numbers up to 84014 share no factor with it.
- 4
The digits of 84014 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84014 = 2 \times 7 \times 17 \times 353 \]
84014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 152928 |
| Euler totient φ(n) | 33792 |
| Square | 7058352196 |
| Cube | 593000401394744 |
| Square root | 289.851686 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.4014 × |
84014 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and fourteen |
| Binary (base 2) | 10100100000101110 |
| Octal (base 8) | 244056 |
| Hexadecimal (base 16) | 1482E |
| Base 3 | 11021020122 |
| As time | 84014 seconds = 23 h 20 min 14 s |
Is 84014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84014 ÷ 2 = 42007) | 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 | No (remainder 2) | 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 (84014 ÷ 7 = 12002) | 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 6) | 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 | No (remainder 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84014 a prime number?
No. 84014 = 2 × 7 × 17 × 353, so it is divisible by 2.
What are the factors of 84014?
1, 2, 7, 14, 17, 34, 119, 238, 353, 706, 2471, 4942, 6001, 12002, 42007, 84014.
What is 84014 in binary?
10100100000101110 (hexadecimal 1482E, octal 244056).
What is the square root of 84014?
About 289.8517.
Is 84014 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 84014?
84014 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.