The number 2746
2746 is a composite number with 4 divisors. Its prime factorisation is 2 × 1373. Divisors (4): 1, 2, 1373, 2746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2746: a semiprime: 2 × 1373, the product of two primes.
- 2
2746 is composite. Its prime factorisation is
- 3
The divisors add up to 4122; without 2746 itself that is 1376, so 2746 is deficient (1376 is less than 2746). Euler's totient φ(2746) = 1372 numbers up to 2746 share no factor with it.
- 4
The digits of 2746 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2746 = 2 \times 1373 \]
2746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4122 |
| Euler totient φ(n) | 1372 |
| Square | 7540516 |
| Cube | 20706256936 |
| Square root | 52.402290 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 128 |
| Scientific notation | 2.746 × |
2746 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and forty-six |
| Roman numerals | MMDCCXLVI |
| Binary (base 2) | 101010111010 |
| Octal (base 8) | 5272 |
| Hexadecimal (base 16) | ABA |
| Base 3 | 10202201 |
| As time | 2746 seconds = 45 min 46 s |
Is 2746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2746 ÷ 2 = 1373) | 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 1) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | 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 2746 a prime number?
No. 2746 = 2 × 1373, so it is divisible by 2.
What are the factors of 2746?
1, 2, 1373, 2746.
What is 2746 in binary?
101010111010 (hexadecimal ABA, octal 5272).
What is the square root of 2746?
About 52.4023.
What is 2746 in Roman numerals?
MMDCCXLVI.
Is 2746 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2746?
2746 is a semiprime: 2 × 1373, the product of two primes.