The number 11249
11249 is a composite number with 4 divisors. Its prime factorisation is 7 × 1607. Divisors (4): 1, 7, 1607, 11249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11249: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1607, the product of two primes.
- 2
11249 is composite. Its prime factorisation is
- 3
The divisors add up to 12864; without 11249 itself that is 1615, so 11249 is deficient (1615 is less than 11249). Euler's totient φ(11249) = 9636 numbers up to 11249 share no factor with it.
- 4
The digits of 11249 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11249 = 7 \times 1607 \]
11249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12864 |
| Euler totient φ(n) | 9636 |
| Square | 126540001 |
| Cube | 1423448471249 |
| Square root | 106.061303 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.1249 × |
11249 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand two hundred and forty-nine |
| Binary (base 2) | 10101111110001 |
| Octal (base 8) | 25761 |
| Hexadecimal (base 16) | 2BF1 |
| Base 3 | 120102122 |
| As time | 11249 seconds = 3 h 7 min 29 s |
Is 11249 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 (11249 ÷ 7 = 1607) | 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 7) | 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 11249 a prime number?
No. 11249 = 7 × 1607, so it is divisible by 7.
What are the factors of 11249?
1, 7, 1607, 11249.
What is 11249 in binary?
10101111110001 (hexadecimal 2BF1, octal 25761).
What is the square root of 11249?
About 106.0613.
Is 11249 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 11249?
11249 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1607, the product of two primes.