The number 83201
83201 is a composite number with 8 divisors. Its prime factorisation is 19 × 29 × 151. Divisors (8): 1, 19, 29, 151, 551, 2869, 4379, 83201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83201 is composite. Its prime factorisation is
- 3
The divisors add up to 91200; without 83201 itself that is 7999, so 83201 is deficient (7999 is less than 83201). Euler's totient φ(83201) = 75600 numbers up to 83201 share no factor with it.
- 4
The digits of 83201 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83201 = 19 \times 29 \times 151 \]
83201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91200 |
| Euler totient φ(n) | 75600 |
| Square | 6922406401 |
| Cube | 575951134969601 |
| Square root | 288.445835 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3201 × |
83201 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and one |
| Binary (base 2) | 10100010100000001 |
| Octal (base 8) | 242401 |
| Hexadecimal (base 16) | 14501 |
| Base 3 | 11020010112 |
| As time | 83201 seconds = 23 h 6 min 41 s |
Is 83201 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83201 a prime number?
No. 83201 = 19 × 29 × 151, so it is divisible by 19.
What are the factors of 83201?
1, 19, 29, 151, 551, 2869, 4379, 83201.
What is 83201 in binary?
10100010100000001 (hexadecimal 14501, octal 242401).
What is the square root of 83201?
About 288.4458.
Is 83201 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 83201?
It is a composite number with 8 divisors.