The number 8249
8249 is a composite number with 4 divisors. Its prime factorisation is 73 × 113. Divisors (4): 1, 73, 113, 8249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8249: a semiprime: 73 × 113, the product of two primes.
- 2
8249 is composite. Its prime factorisation is
- 3
The divisors add up to 8436; without 8249 itself that is 187, so 8249 is deficient (187 is less than 8249). Euler's totient φ(8249) = 8064 numbers up to 8249 share no factor with it.
- 4
The digits of 8249 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8249 = 73 \times 113 \]
8249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8436 |
| Euler totient φ(n) | 8064 |
| Square | 68046001 |
| Cube | 561311462249 |
| Square root | 90.824006 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.249 × |
8249 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and forty-nine |
| Binary (base 2) | 10000000111001 |
| Octal (base 8) | 20071 |
| Hexadecimal (base 16) | 2039 |
| Base 3 | 102022112 |
| As time | 8249 seconds = 2 h 17 min 29 s |
Is 8249 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 3) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 8249 a prime number?
No. 8249 = 73 × 113, so it is divisible by 73.
What are the factors of 8249?
1, 73, 113, 8249.
What is 8249 in binary?
10000000111001 (hexadecimal 2039, octal 20071).
What is the square root of 8249?
About 90.8240.
Is 8249 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 8249?
8249 is a semiprime: 73 × 113, the product of two primes.