The number 12450
12450 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 83. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 83, 150, 166, 249, 415 … 12450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12450 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12450 is composite. Its prime factorisation is
- 3
The divisors add up to 31248; without 12450 itself that is 18798, so 12450 is abundant (18798 is more than 12450). Euler's totient φ(12450) = 3280 numbers up to 12450 share no factor with it.
- 4
The digits of 12450 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12450 = 2 \times 3 \times 5^{2} \times 83 \]12450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31248 |
| Euler totient φ(n) | 3280 |
| Square | 155002500 |
| Cube | 1929781125000 |
| Square root | 111.579568 (= 5√498) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.245 × |
12450 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and fifty |
| Binary (base 2) | 11000010100010 |
| Octal (base 8) | 30242 |
| Hexadecimal (base 16) | 30A2 |
| Base 3 | 122002010 |
| As time | 12450 seconds = 3 h 27 min 30 s |
Is 12450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12450 ÷ 2 = 6225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12450 ÷ 3 = 4150) | 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 (12450 ÷ 5 = 2490) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12450 ÷ 6 = 2075) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12450 ÷ 10 = 1245) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 12450 a prime number?
No. 12450 = 2 × 3 × × 83, so it is divisible by 2.
What are the factors of 12450?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 83, 150, 166, 249, 415, 498, 830, 1245, 2075, 2490, 4150, 6225, 12450.
What is 12450 in binary?
11000010100010 (hexadecimal 30A2, octal 30242).
What is the square root of 12450?
About 111.5796, exactly 5√498.
Is 12450 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12450?
It is a composite number with 24 divisors.