The number 2739
2739 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 83. Divisors (8): 1, 3, 11, 33, 83, 249, 913, 2739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2739 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2739 is composite. Its prime factorisation is
- 3
The divisors add up to 4032; without 2739 itself that is 1293, so 2739 is deficient (1293 is less than 2739). Euler's totient φ(2739) = 1640 numbers up to 2739 share no factor with it.
- 4
The digits of 2739 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
\[ 2739 = 3 \times 11 \times 83 \]
2739 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4032 |
| Euler totient φ(n) | 1640 |
| Square | 7502121 |
| Cube | 20548309419 |
| Square root | 52.335456 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.739 × |
2739 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and thirty-nine |
| Roman numerals | MMDCCXXXIX |
| Binary (base 2) | 101010110011 |
| Octal (base 8) | 5263 |
| Hexadecimal (base 16) | AB3 |
| Base 3 | 10202110 |
| As time | 2739 seconds = 45 min 39 s |
Is 2739 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2739 ÷ 3 = 913) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 | No (remainder 3) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2739 ÷ 11 = 249) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2739 a prime number?
No. 2739 = 3 × 11 × 83, so it is divisible by 3.
What are the factors of 2739?
1, 3, 11, 33, 83, 249, 913, 2739.
What is 2739 in binary?
101010110011 (hexadecimal AB3, octal 5263).
What is the square root of 2739?
About 52.3355.
What is 2739 in Roman numerals?
MMDCCXXXIX.
Is 2739 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2739?
It is a composite number with 8 divisors.