The number 2450
2450 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490 … 2450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2450 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2450 is composite. Its prime factorisation is
- 3
The divisors add up to 5301; without 2450 itself that is 2851, so 2450 is abundant (2851 is more than 2450). Euler's totient φ(2450) = 840 numbers up to 2450 share no factor with it.
- 4
The digits of 2450 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2450 = 2 \times 5^{2} \times 7^{2} \]2450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 5301 |
| Euler totient φ(n) | 840 |
| Square | 6002500 |
| Cube | 14706125000 |
| Square root | 49.497475 (= 35√2) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.45 × |
2450 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and fifty |
| Roman numerals | MMCDL |
| Binary (base 2) | 100110010010 |
| Octal (base 8) | 4622 |
| Hexadecimal (base 16) | 992 |
| Base 3 | 10100202 |
| As time | 2450 seconds = 40 min 50 s |
Is 2450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2450 ÷ 2 = 1225) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2450 ÷ 5 = 490) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2450 ÷ 7 = 350) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2450 ÷ 10 = 245) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2450 a prime number?
No. 2450 = 2 × × , so it is divisible by 2.
What are the factors of 2450?
1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450.
What is 2450 in binary?
100110010010 (hexadecimal 992, octal 4622).
What is the square root of 2450?
About 49.4975, exactly 35√2.
What is 2450 in Roman numerals?
MMCDL.
Is 2450 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2450?
It is a composite number with 18 divisors.