The number 83249
83249 is a composite number with 8 divisors. Its prime factorisation is 17 × 59 × 83. Divisors (8): 1, 17, 59, 83, 1003, 1411, 4897, 83249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83249 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83249 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 83249 itself that is 7471, so 83249 is deficient (7471 is less than 83249). Euler's totient φ(83249) = 76096 numbers up to 83249 share no factor with it.
- 4
The digits of 83249 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83249 = 17 \times 59 \times 83 \]
83249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 76096 |
| Square | 6930396001 |
| Cube | 576948536687249 |
| Square root | 288.529028 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3249 × |
83249 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and forty-nine |
| Binary (base 2) | 10100010100110001 |
| Octal (base 8) | 242461 |
| Hexadecimal (base 16) | 14531 |
| Base 3 | 11020012022 |
| As time | 83249 seconds = 23 h 7 min 29 s |
Is 83249 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 4) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 83249 a prime number?
No. 83249 = 17 × 59 × 83, so it is divisible by 17.
What are the factors of 83249?
1, 17, 59, 83, 1003, 1411, 4897, 83249.
What is 83249 in binary?
10100010100110001 (hexadecimal 14531, octal 242461).
What is the square root of 83249?
About 288.5290.
Is 83249 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 83249?
It is a composite number with 8 divisors.