The number 84201
84201 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 17 × 127. Divisors (16): 1, 3, 13, 17, 39, 51, 127, 221, 381, 663, 1651, 2159, 4953, 6477, 28067, 84201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84201 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 84201 itself that is 44823, so 84201 is deficient (44823 is less than 84201). Euler's totient φ(84201) = 48384 numbers up to 84201 share no factor with it.
- 4
The digits of 84201 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84201 = 3 \times 13 \times 17 \times 127 \]
84201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 48384 |
| Square | 7089808401 |
| Cube | 596968957172601 |
| Square root | 290.174086 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 218 |
| Scientific notation | 8.4201 × |
84201 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand two hundred and one |
| Binary (base 2) | 10100100011101001 |
| Octal (base 8) | 244351 |
| Hexadecimal (base 16) | 148E9 |
| Base 3 | 11021111120 |
| As time | 84201 seconds = 23 h 23 min 21 s |
Is 84201 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 (84201 ÷ 3 = 28067) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84201 a prime number?
No. 84201 = 3 × 13 × 17 × 127, so it is divisible by 3.
What are the factors of 84201?
1, 3, 13, 17, 39, 51, 127, 221, 381, 663, 1651, 2159, 4953, 6477, 28067, 84201.
What is 84201 in binary?
10100100011101001 (hexadecimal 148E9, octal 244351).
What is the square root of 84201?
About 290.1741.
Is 84201 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 84201?
It is a composite number with 16 divisors.