The number 84001
84001 is a composite number with 4 divisors. Its prime factorisation is 167 × 503. Divisors (4): 1, 167, 503, 84001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84001: a semiprime: 167 × 503, the product of two primes.
- 2
84001 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 84001 itself that is 671, so 84001 is deficient (671 is less than 84001). Euler's totient φ(84001) = 83332 numbers up to 84001 share no factor with it.
- 4
The digits of 84001 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84001 = 167 \times 503 \]
84001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 83332 |
| Square | 7056168001 |
| Cube | 592725168252001 |
| Square root | 289.829260 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.4001 × |
84001 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and one |
| Binary (base 2) | 10100100000100001 |
| Octal (base 8) | 244041 |
| Hexadecimal (base 16) | 14821 |
| Base 3 | 11021020011 |
| As time | 84001 seconds = 23 h 20 min 1 s |
Is 84001 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84001 a prime number?
No. 84001 = 167 × 503, so it is divisible by 167.
What are the factors of 84001?
1, 167, 503, 84001.
What is 84001 in binary?
10100100000100001 (hexadecimal 14821, octal 244041).
What is the square root of 84001?
About 289.8293.
Is 84001 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 84001?
84001 is a semiprime: 167 × 503, the product of two primes.