The number 2738
2738 is a composite number with 6 divisors. Its prime factorisation is 2 Ć . Divisors (6): 1, 2, 37, 74, 1369, 2738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2738 is composite. Its prime factorisation is
- 3
The divisors add up to 4221; without 2738 itself that is 1483, so 2738 is deficient (1483 is less than 2738). Euler's totient Ļ(2738) = 1332 numbers up to 2738 share no factor with it.
- 4
The digits of 2738 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2738 = 2 \times 37^{2} \]2738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4221 |
| Euler totient Ļ(n) | 1332 |
| Square | 7496644 |
| Cube | 20525811272 |
| Square root | 52.325902 (= 37ā2) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.738 Ć |
2738 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and thirty-eight |
| Roman numerals | MMDCCXXXVIII |
| Binary (base 2) | 101010110010 |
| Octal (base 8) | 5262 |
| Hexadecimal (base 16) | AB2 |
| Base 3 | 10202102 |
| As time | 2738 seconds = 45 min 38 s |
Is 2738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2738 Ć· 2 = 1369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2738 a prime number?
No. 2738 = 2 Ć , so it is divisible by 2.
What are the factors of 2738?
1, 2, 37, 74, 1369, 2738.
What is 2738 in binary?
101010110010 (hexadecimal AB2, octal 5262).
What is the square root of 2738?
About 52.3259, exactly 37ā2.
What is 2738 in Roman numerals?
MMDCCXXXVIII.
Is 2738 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 2738?
It is a composite number with 6 divisors.