The number 10744
10744 is a composite number with 16 divisors. Its prime factorisation is × 17 × 79. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 79, 136, 158, 316, 632, 1343, 2686, 5372, 10744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10744: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10744 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 10744 itself that is 10856, so 10744 is abundant (10856 is more than 10744). Euler's totient φ(10744) = 4992 numbers up to 10744 share no factor with it.
- 4
The digits of 10744 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10744 = 2^{3} \times 17 \times 79 \]10744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 4992 |
| Square | 115433536 |
| Cube | 1240217910784 |
| Square root | 103.653268 (= 2√2686) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.0744 × |
10744 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and forty-four |
| Binary (base 2) | 10100111111000 |
| Octal (base 8) | 24770 |
| Hexadecimal (base 16) | 29F8 |
| Base 3 | 112201221 |
| As time | 10744 seconds = 2 h 59 min 4 s |
Is 10744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10744 ÷ 2 = 5372) | 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 | Yes (10744 ÷ 4 = 2686) | 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 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 | Yes (10744 ÷ 8 = 1343) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10744 a prime number?
No. 10744 = × 17 × 79, so it is divisible by 2.
What are the factors of 10744?
1, 2, 4, 8, 17, 34, 68, 79, 136, 158, 316, 632, 1343, 2686, 5372, 10744.
What is 10744 in binary?
10100111111000 (hexadecimal 29F8, octal 24770).
What is the square root of 10744?
About 103.6533, exactly 2√2686.
Is 10744 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10744?
10744 is a happy number: repeatedly adding the squares of its digits reaches 1.