The number 10749
10749 is a composite number with 4 divisors. Its prime factorisation is 3 × 3583. Divisors (4): 1, 3, 3583, 10749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10749: a semiprime: 3 × 3583, the product of two primes.
- 2
10749 is composite. Its prime factorisation is
- 3
The divisors add up to 14336; without 10749 itself that is 3587, so 10749 is deficient (3587 is less than 10749). Euler's totient φ(10749) = 7164 numbers up to 10749 share no factor with it.
- 4
The digits of 10749 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10749 = 3 \times 3583 \]
10749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14336 |
| Euler totient φ(n) | 7164 |
| Square | 115541001 |
| Cube | 1241950219749 |
| Square root | 103.677384 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.0749 × |
10749 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and forty-nine |
| Binary (base 2) | 10100111111101 |
| Octal (base 8) | 24775 |
| Hexadecimal (base 16) | 29FD |
| Base 3 | 112202010 |
| As time | 10749 seconds = 2 h 59 min 9 s |
Is 10749 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 (10749 ÷ 3 = 3583) | 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 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 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 | No (remainder 2) | 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 10749 a prime number?
No. 10749 = 3 × 3583, so it is divisible by 3.
What are the factors of 10749?
1, 3, 3583, 10749.
What is 10749 in binary?
10100111111101 (hexadecimal 29FD, octal 24775).
What is the square root of 10749?
About 103.6774.
Is 10749 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 10749?
10749 is a semiprime: 3 × 3583, the product of two primes.