The number 11250
11250 is a composite number with 30 divisors. Its prime factorisation is 2 × × . Divisors (30): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125 … 11250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11250: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
11250 is composite. Its prime factorisation is
- 3
The divisors add up to 30459; without 11250 itself that is 19209, so 11250 is abundant (19209 is more than 11250). Euler's totient φ(11250) = 3000 numbers up to 11250 share no factor with it.
- 4
The digits of 11250 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11250 = 2 \times 3^{2} \times 5^{4} \]11250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 30459 |
| Euler totient φ(n) | 3000 |
| Square | 126562500 |
| Cube | 1423828125000 |
| Square root | 106.066017 (= 75√2) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.125 × |
11250 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand two hundred and fifty |
| Binary (base 2) | 10101111110010 |
| Octal (base 8) | 25762 |
| Hexadecimal (base 16) | 2BF2 |
| Base 3 | 120102200 |
| As time | 11250 seconds = 3 h 7 min 30 s |
Is 11250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11250 ÷ 2 = 5625) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11250 ÷ 3 = 3750) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11250 ÷ 5 = 2250) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11250 ÷ 6 = 1875) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11250 ÷ 9 = 1250) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11250 ÷ 10 = 1125) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11250 a prime number?
No. 11250 = 2 × × , so it is divisible by 2.
What are the factors of 11250?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 625, 750, 1125, 1250, 1875, 2250, 3750, 5625, 11250.
What is 11250 in binary?
10101111110010 (hexadecimal 2BF2, octal 25762).
What is the square root of 11250?
About 106.0660, exactly 75√2.
Is 11250 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 11250?
11250 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.