The number 2428
2428 is a composite number with 6 divisors. Its prime factorisation is × 607. Divisors (6): 1, 2, 4, 607, 1214, 2428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2428 is composite. Its prime factorisation is
- 3
The divisors add up to 4256; without 2428 itself that is 1828, so 2428 is deficient (1828 is less than 2428). Euler's totient φ(2428) = 1212 numbers up to 2428 share no factor with it.
- 4
The digits of 2428 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2428 = 2^{2} \times 607 \]2428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4256 |
| Euler totient φ(n) | 1212 |
| Square | 5895184 |
| Cube | 14313506752 |
| Square root | 49.274740 (= 2√607) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.428 × |
2428 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and twenty-eight |
| Roman numerals | MMCDXXVIII |
| Binary (base 2) | 100101111100 |
| Octal (base 8) | 4574 |
| Hexadecimal (base 16) | 97C |
| Base 3 | 10022221 |
| As time | 2428 seconds = 40 min 28 s |
Is 2428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2428 ÷ 2 = 1214) | 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 | Yes (2428 ÷ 4 = 607) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2428 a prime number?
No. 2428 = × 607, so it is divisible by 2.
What are the factors of 2428?
1, 2, 4, 607, 1214, 2428.
What is 2428 in binary?
100101111100 (hexadecimal 97C, octal 4574).
What is the square root of 2428?
About 49.2747, exactly 2√607.
What is 2428 in Roman numerals?
MMCDXXVIII.
Is 2428 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2428?
It is a composite number with 6 divisors.