The number 12250
12250 is a composite number with 24 divisors. Its prime factorisation is 2 × × . Divisors (24): 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 125, 175, 245, 250 … 12250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12250: a Harshad number: divisible by its digit sum 10.
- 2
12250 is composite. Its prime factorisation is
- 3
The divisors add up to 26676; without 12250 itself that is 14426, so 12250 is abundant (14426 is more than 12250). Euler's totient φ(12250) = 4200 numbers up to 12250 share no factor with it.
- 4
The digits of 12250 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12250 = 2 \times 5^{3} \times 7^{2} \]12250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26676 |
| Euler totient φ(n) | 4200 |
| Square | 150062500 |
| Cube | 1838265625000 |
| Square root | 110.679718 (= 35√10) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.225 × |
12250 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and fifty |
| Binary (base 2) | 10111111011010 |
| Octal (base 8) | 27732 |
| Hexadecimal (base 16) | 2FDA |
| Base 3 | 121210201 |
| As time | 12250 seconds = 3 h 24 min 10 s |
Is 12250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12250 ÷ 2 = 6125) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12250 ÷ 5 = 2450) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (12250 ÷ 7 = 1750) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12250 ÷ 10 = 1225) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12250 a prime number?
No. 12250 = 2 × × , so it is divisible by 2.
What are the factors of 12250?
1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 125, 175, 245, 250, 350, 490, 875, 1225, 1750, 2450, 6125, 12250.
What is 12250 in binary?
10111111011010 (hexadecimal 2FDA, octal 27732).
What is the square root of 12250?
About 110.6797, exactly 35√10.
Is 12250 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 12250?
12250 is a Harshad number: divisible by its digit sum 10.