The number 32249
32249 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 271. Divisors (8): 1, 7, 17, 119, 271, 1897, 4607, 32249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32249 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32249 is composite. Its prime factorisation is
- 3
The divisors add up to 39168; without 32249 itself that is 6919, so 32249 is deficient (6919 is less than 32249). Euler's totient φ(32249) = 25920 numbers up to 32249 share no factor with it.
- 4
The digits of 32249 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32249 = 7 \times 17 \times 271 \]
32249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39168 |
| Euler totient φ(n) | 25920 |
| Square | 1039998001 |
| Cube | 33538895534249 |
| Square root | 179.580066 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2249 × |
32249 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and forty-nine |
| Binary (base 2) | 111110111111001 |
| Octal (base 8) | 76771 |
| Hexadecimal (base 16) | 7DF9 |
| Base 3 | 1122020102 |
| As time | 32249 seconds = 8 h 57 min 29 s |
Is 32249 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 | Yes (32249 ÷ 7 = 4607) | 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 2) | 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 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 32249 a prime number?
No. 32249 = 7 × 17 × 271, so it is divisible by 7.
What are the factors of 32249?
1, 7, 17, 119, 271, 1897, 4607, 32249.
What is 32249 in binary?
111110111111001 (hexadecimal 7DF9, octal 76771).
What is the square root of 32249?
About 179.5801.
Is 32249 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32249?
It is a composite number with 8 divisors.