The number 10748
10748 is a composite number with 6 divisors. Its prime factorisation is × 2687. Divisors (6): 1, 2, 4, 2687, 5374, 10748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10748 is composite. Its prime factorisation is
- 3
The divisors add up to 18816; without 10748 itself that is 8068, so 10748 is deficient (8068 is less than 10748). Euler's totient φ(10748) = 5372 numbers up to 10748 share no factor with it.
- 4
The digits of 10748 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10748 = 2^{2} \times 2687 \]10748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 18816 |
| Euler totient φ(n) | 5372 |
| Square | 115519504 |
| Cube | 1241603628992 |
| Square root | 103.672561 (= 2√2687) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.0748 × |
10748 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and forty-eight |
| Binary (base 2) | 10100111111100 |
| Octal (base 8) | 24774 |
| Hexadecimal (base 16) | 29FC |
| Base 3 | 112202002 |
| As time | 10748 seconds = 2 h 59 min 8 s |
Is 10748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10748 ÷ 2 = 5374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10748 ÷ 4 = 2687) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10748 a prime number?
No. 10748 = × 2687, so it is divisible by 2.
What are the factors of 10748?
1, 2, 4, 2687, 5374, 10748.
What is 10748 in binary?
10100111111100 (hexadecimal 29FC, octal 24774).
What is the square root of 10748?
About 103.6726, exactly 2√2687.
Is 10748 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 10748?
10748 is a happy number: repeatedly adding the squares of its digits reaches 1.