The number 2748
2748 is a composite number with 12 divisors. Its prime factorisation is × 3 × 229. Divisors (12): 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2748 is composite. Its prime factorisation is
- 3
The divisors add up to 6440; without 2748 itself that is 3692, so 2748 is abundant (3692 is more than 2748). Euler's totient φ(2748) = 912 numbers up to 2748 share no factor with it.
- 4
The digits of 2748 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2748 = 2^{2} \times 3 \times 229 \]2748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6440 |
| Euler totient φ(n) | 912 |
| Square | 7551504 |
| Cube | 20751532992 |
| Square root | 52.421370 (= 2√687) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.748 × |
2748 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and forty-eight |
| Roman numerals | MMDCCXLVIII |
| Binary (base 2) | 101010111100 |
| Octal (base 8) | 5274 |
| Hexadecimal (base 16) | ABC |
| Base 3 | 10202210 |
| As time | 2748 seconds = 45 min 48 s |
Is 2748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2748 ÷ 2 = 1374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2748 ÷ 3 = 916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2748 ÷ 4 = 687) | 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 | Yes (2748 ÷ 6 = 458) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2748 ÷ 12 = 229) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2748 a prime number?
No. 2748 = × 3 × 229, so it is divisible by 2.
What are the factors of 2748?
1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748.
What is 2748 in binary?
101010111100 (hexadecimal ABC, octal 5274).
What is the square root of 2748?
About 52.4214, exactly 2√687.
What is 2748 in Roman numerals?
MMDCCXLVIII.
Is 2748 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2748?
2748 is a happy number: repeatedly adding the squares of its digits reaches 1.