The number 2484
2484 is a composite number with 24 divisors. Its prime factorisation is × × 23. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108 … 2484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2484: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
2484 is composite. Its prime factorisation is
- 3
The divisors add up to 6720; without 2484 itself that is 4236, so 2484 is abundant (4236 is more than 2484). Euler's totient φ(2484) = 792 numbers up to 2484 share no factor with it.
- 4
The digits of 2484 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2484 = 2^{2} \times 3^{3} \times 23 \]2484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6720 |
| Euler totient φ(n) | 792 |
| Square | 6170256 |
| Cube | 15326915904 |
| Square root | 49.839743 (= 6√69) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 2.484 × |
2484 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and eighty-four |
| Roman numerals | MMCDLXXXIV |
| Binary (base 2) | 100110110100 |
| Octal (base 8) | 4664 |
| Hexadecimal (base 16) | 9B4 |
| Base 3 | 10102000 |
| As time | 2484 seconds = 41 min 24 s |
Is 2484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2484 ÷ 2 = 1242) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2484 ÷ 3 = 828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2484 ÷ 4 = 621) | 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 (2484 ÷ 6 = 414) | 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 | Yes (2484 ÷ 9 = 276) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2484 ÷ 12 = 207) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2484 a prime number?
No. 2484 = × × 23, so it is divisible by 2.
What are the factors of 2484?
1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484.
What is 2484 in binary?
100110110100 (hexadecimal 9B4, octal 4664).
What is the square root of 2484?
About 49.8397, exactly 6√69.
What is 2484 in Roman numerals?
MMCDLXXXIV.
Is 2484 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2484?
2484 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.