The number 2736
2736 is a composite number with 30 divisors. Its prime factorisation is × × 19. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57 … 2736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2736: a Harshad number: divisible by its digit sum 18.
- 2
2736 is composite. Its prime factorisation is
- 3
The divisors add up to 8060; without 2736 itself that is 5324, so 2736 is abundant (5324 is more than 2736). Euler's totient φ(2736) = 864 numbers up to 2736 share no factor with it.
- 4
The digits of 2736 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 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2736 = 2^{4} \times 3^{2} \times 19 \]2736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 8060 |
| Euler totient φ(n) | 864 |
| Square | 7485696 |
| Cube | 20480864256 |
| Square root | 52.306787 (= 12√19) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 128 |
| Scientific notation | 2.736 × |
2736 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and thirty-six |
| Roman numerals | MMDCCXXXVI |
| Binary (base 2) | 101010110000 |
| Octal (base 8) | 5260 |
| Hexadecimal (base 16) | AB0 |
| Base 3 | 10202100 |
| As time | 2736 seconds = 45 min 36 s |
Is 2736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2736 ÷ 2 = 1368) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2736 ÷ 3 = 912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2736 ÷ 4 = 684) | 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 (2736 ÷ 6 = 456) | 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 | Yes (2736 ÷ 8 = 342) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2736 ÷ 9 = 304) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2736 ÷ 12 = 228) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2736 a prime number?
No. 2736 = × × 19, so it is divisible by 2.
What are the factors of 2736?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368, 2736.
What is 2736 in binary?
101010110000 (hexadecimal AB0, octal 5260).
What is the square root of 2736?
About 52.3068, exactly 12√19.
What is 2736 in Roman numerals?
MMDCCXXXVI.
Is 2736 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2736?
2736 is a Harshad number: divisible by its digit sum 18.