The number 7249
7249 is a composite number with 4 divisors. Its prime factorisation is 11 × 659. Divisors (4): 1, 11, 659, 7249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7249: a semiprime: 11 × 659, the product of two primes.
- 2
7249 is composite. Its prime factorisation is
- 3
The divisors add up to 7920; without 7249 itself that is 671, so 7249 is deficient (671 is less than 7249). Euler's totient φ(7249) = 6580 numbers up to 7249 share no factor with it.
- 4
The digits of 7249 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7249 = 11 \times 659 \]
7249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7920 |
| Euler totient φ(n) | 6580 |
| Square | 52548001 |
| Cube | 380920459249 |
| Square root | 85.141059 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.249 × |
7249 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and forty-nine |
| Binary (base 2) | 1110001010001 |
| Octal (base 8) | 16121 |
| Hexadecimal (base 16) | 1C51 |
| Base 3 | 100221111 |
| As time | 7249 seconds = 2 h 0 min 49 s |
Is 7249 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 | Yes (7249 ÷ 11 = 659) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7249 a prime number?
No. 7249 = 11 × 659, so it is divisible by 11.
What are the factors of 7249?
1, 11, 659, 7249.
What is 7249 in binary?
1110001010001 (hexadecimal 1C51, octal 16121).
What is the square root of 7249?
About 85.1411.
Is 7249 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 7249?
7249 is a semiprime: 11 × 659, the product of two primes.