The number 1749
1749 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 53. Divisors (8): 1, 3, 11, 33, 53, 159, 583, 1749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1749 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1749 is composite. Its prime factorisation is
- 3
The divisors add up to 2592; without 1749 itself that is 843, so 1749 is deficient (843 is less than 1749). Euler's totient φ(1749) = 1040 numbers up to 1749 share no factor with it.
- 4
The digits of 1749 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1749 = 3 \times 11 \times 53 \]
1749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2592 |
| Euler totient φ(n) | 1040 |
| Square | 3059001 |
| Cube | 5350192749 |
| Square root | 41.821047 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.749 × |
1749 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and forty-nine |
| Roman numerals | MDCCXLIX |
| Binary (base 2) | 11011010101 |
| Octal (base 8) | 3325 |
| Hexadecimal (base 16) | 6D5 |
| Base 3 | 2101210 |
| As time | 1749 seconds = 29 min 9 s |
Is 1749 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 (1749 ÷ 3 = 583) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 6) | 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 5) | 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 (1749 ÷ 11 = 159) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1749 a prime number?
No. 1749 = 3 × 11 × 53, so it is divisible by 3.
What are the factors of 1749?
1, 3, 11, 33, 53, 159, 583, 1749.
What is 1749 in binary?
11011010101 (hexadecimal 6D5, octal 3325).
What is the square root of 1749?
About 41.8210.
What is 1749 in Roman numerals?
MDCCXLIX.
Is 1749 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1749?
It is a composite number with 8 divisors.