The number 2420
2420 is a composite number with 18 divisors. Its prime factorisation is × 5 × . Divisors (18): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605 … 2420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2420 is composite. Its prime factorisation is
- 3
The divisors add up to 5586; without 2420 itself that is 3166, so 2420 is abundant (3166 is more than 2420). Euler's totient φ(2420) = 880 numbers up to 2420 share no factor with it.
- 4
The digits of 2420 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2420 = 2^{2} \times 5 \times 11^{2} \]2420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 5586 |
| Euler totient φ(n) | 880 |
| Square | 5856400 |
| Cube | 14172488000 |
| Square root | 49.193496 (= 22√5) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 19 |
| Scientific notation | 2.42 × |
2420 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and twenty |
| Roman numerals | MMCDXX |
| Binary (base 2) | 100101110100 |
| Octal (base 8) | 4564 |
| Hexadecimal (base 16) | 974 |
| Base 3 | 10022122 |
| As time | 2420 seconds = 40 min 20 s |
Is 2420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2420 ÷ 2 = 1210) | 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 | Yes (2420 ÷ 4 = 605) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2420 ÷ 5 = 484) | 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 | No (remainder 5) | 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 4) | 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 | Yes (2420 ÷ 10 = 242) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2420 ÷ 11 = 220) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2420 a prime number?
No. 2420 = × 5 × , so it is divisible by 2.
What are the factors of 2420?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420.
What is 2420 in binary?
100101110100 (hexadecimal 974, octal 4564).
What is the square root of 2420?
About 49.1935, exactly 22√5.
What is 2420 in Roman numerals?
MMCDXX.
Is 2420 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2420?
It is a composite number with 18 divisors.