The number 2436
2436 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 29. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116 … 2436.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2436 is composite. Its prime factorisation is
- 3
The divisors add up to 6720; without 2436 itself that is 4284, so 2436 is abundant (4284 is more than 2436). Euler's totient φ(2436) = 672 numbers up to 2436 share no factor with it.
- 4
The digits of 2436 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2436 = 2^{2} \times 3 \times 7 \times 29 \]2436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6720 |
| Euler totient φ(n) | 672 |
| Square | 5934096 |
| Cube | 14455457856 |
| Square root | 49.355851 (= 2√609) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.436 × |
2436 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and thirty-six |
| Roman numerals | MMCDXXXVI |
| Binary (base 2) | 100110000100 |
| Octal (base 8) | 4604 |
| Hexadecimal (base 16) | 984 |
| Base 3 | 10100020 |
| As time | 2436 seconds = 40 min 36 s |
Is 2436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2436 ÷ 2 = 1218) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2436 ÷ 3 = 812) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2436 ÷ 4 = 609) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2436 ÷ 6 = 406) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2436 ÷ 7 = 348) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2436 ÷ 12 = 203) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2436 a prime number?
No. 2436 = × 3 × 7 × 29, so it is divisible by 2.
What are the factors of 2436?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436.
What is 2436 in binary?
100110000100 (hexadecimal 984, octal 4604).
What is the square root of 2436?
About 49.3559, exactly 2√609.
What is 2436 in Roman numerals?
MMCDXXXVI.
Is 2436 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2436?
It is a composite number with 24 divisors.