The number 2424
2424 is a composite number with 16 divisors. Its prime factorisation is × 3 × 101. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2424: a Harshad number: divisible by its digit sum 12.
- 2
2424 is composite. Its prime factorisation is
- 3
The divisors add up to 6120; without 2424 itself that is 3696, so 2424 is abundant (3696 is more than 2424). Euler's totient φ(2424) = 800 numbers up to 2424 share no factor with it.
- 4
The digits of 2424 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2424 = 2^{3} \times 3 \times 101 \]2424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6120 |
| Euler totient φ(n) | 800 |
| Square | 5875776 |
| Cube | 14242881024 |
| Square root | 49.234135 (= 2√606) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.424 × |
2424 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and twenty-four |
| Roman numerals | MMCDXXIV |
| Binary (base 2) | 100101111000 |
| Octal (base 8) | 4570 |
| Hexadecimal (base 16) | 978 |
| Base 3 | 10022210 |
| As time | 2424 seconds = 40 min 24 s |
Is 2424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2424 ÷ 2 = 1212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2424 ÷ 3 = 808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2424 ÷ 4 = 606) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2424 ÷ 6 = 404) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (2424 ÷ 8 = 303) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2424 ÷ 12 = 202) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2424 a prime number?
No. 2424 = × 3 × 101, so it is divisible by 2.
What are the factors of 2424?
1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424.
What is 2424 in binary?
100101111000 (hexadecimal 978, octal 4570).
What is the square root of 2424?
About 49.2341, exactly 2√606.
What is 2424 in Roman numerals?
MMCDXXIV.
Is 2424 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2424?
2424 is a Harshad number: divisible by its digit sum 12.