The number 2734
2734 is a composite number with 4 divisors. Its prime factorisation is 2 × 1367. Divisors (4): 1, 2, 1367, 2734.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2734: a semiprime: 2 × 1367, the product of two primes.
- 2
2734 is composite. Its prime factorisation is
- 3
The divisors add up to 4104; without 2734 itself that is 1370, so 2734 is deficient (1370 is less than 2734). Euler's totient φ(2734) = 1366 numbers up to 2734 share no factor with it.
- 4
The digits of 2734 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2734 = 2 \times 1367 \]
2734 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4104 |
| Euler totient φ(n) | 1366 |
| Square | 7474756 |
| Cube | 20435982904 |
| Square root | 52.287666 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.734 × |
2734 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and thirty-four |
| Roman numerals | MMDCCXXXIV |
| Binary (base 2) | 101010101110 |
| Octal (base 8) | 5256 |
| Hexadecimal (base 16) | AAE |
| Base 3 | 10202021 |
| As time | 2734 seconds = 45 min 34 s |
Is 2734 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2734 ÷ 2 = 1367) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2734 a prime number?
No. 2734 = 2 × 1367, so it is divisible by 2.
What are the factors of 2734?
1, 2, 1367, 2734.
What is 2734 in binary?
101010101110 (hexadecimal AAE, octal 5256).
What is the square root of 2734?
About 52.2877.
What is 2734 in Roman numerals?
MMDCCXXXIV.
Is 2734 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2734?
2734 is a semiprime: 2 × 1367, the product of two primes.