The number 84002
84002 is a composite number with 8 divisors. Its prime factorisation is 2 × 97 × 433. Divisors (8): 1, 2, 97, 194, 433, 866, 42001, 84002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84002 is composite. Its prime factorisation is
- 3
The divisors add up to 127596; without 84002 itself that is 43594, so 84002 is deficient (43594 is less than 84002). Euler's totient φ(84002) = 41472 numbers up to 84002 share no factor with it.
- 4
The digits of 84002 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84002 = 2 \times 97 \times 433 \]
84002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 127596 |
| Euler totient φ(n) | 41472 |
| Square | 7056336004 |
| Cube | 592746337008008 |
| Square root | 289.830985 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.4002 × |
84002 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and two |
| Binary (base 2) | 10100100000100010 |
| Octal (base 8) | 244042 |
| Hexadecimal (base 16) | 14822 |
| Base 3 | 11021020012 |
| As time | 84002 seconds = 23 h 20 min 2 s |
Is 84002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84002 ÷ 2 = 42001) | 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 2) | 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 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 84002 a prime number?
No. 84002 = 2 × 97 × 433, so it is divisible by 2.
What are the factors of 84002?
1, 2, 97, 194, 433, 866, 42001, 84002.
What is 84002 in binary?
10100100000100010 (hexadecimal 14822, octal 244042).
What is the square root of 84002?
About 289.8310.
Is 84002 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 84002?
It is a composite number with 8 divisors.