The number 2249
2249 is a composite number with 4 divisors. Its prime factorisation is 13 × 173. Divisors (4): 1, 13, 173, 2249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2249: a semiprime: 13 × 173, the product of two primes.
- 2
2249 is composite. Its prime factorisation is
- 3
The divisors add up to 2436; without 2249 itself that is 187, so 2249 is deficient (187 is less than 2249). Euler's totient φ(2249) = 2064 numbers up to 2249 share no factor with it.
- 4
The digits of 2249 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2249 = 13 \times 173 \]
2249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2436 |
| Euler totient φ(n) | 2064 |
| Square | 5058001 |
| Cube | 11375444249 |
| Square root | 47.423623 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.249 × |
2249 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and forty-nine |
| Roman numerals | MMCCXLIX |
| Binary (base 2) | 100011001001 |
| Octal (base 8) | 4311 |
| Hexadecimal (base 16) | 8C9 |
| Base 3 | 10002022 |
| As time | 2249 seconds = 37 min 29 s |
Is 2249 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 2) | 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 5) | 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 2249 a prime number?
No. 2249 = 13 × 173, so it is divisible by 13.
What are the factors of 2249?
1, 13, 173, 2249.
What is 2249 in binary?
100011001001 (hexadecimal 8C9, octal 4311).
What is the square root of 2249?
About 47.4236.
What is 2249 in Roman numerals?
MMCCXLIX.
Is 2249 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2249?
2249 is a semiprime: 13 × 173, the product of two primes.