The number 10746
10746 is a composite number with 16 divisors. Its prime factorisation is 2 × × 199. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 199, 398, 597, 1194, 1791, 3582, 5373, 10746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10746: a Harshad number: divisible by its digit sum 18.
- 2
10746 is composite. Its prime factorisation is
- 3
The divisors add up to 24000; without 10746 itself that is 13254, so 10746 is abundant (13254 is more than 10746). Euler's totient φ(10746) = 3564 numbers up to 10746 share no factor with it.
- 4
The digits of 10746 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10746 = 2 \times 3^{3} \times 199 \]10746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24000 |
| Euler totient φ(n) | 3564 |
| Square | 115476516 |
| Cube | 1240910640936 |
| Square root | 103.662915 (= 3√1194) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.0746 × |
10746 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and forty-six |
| Binary (base 2) | 10100111111010 |
| Octal (base 8) | 24772 |
| Hexadecimal (base 16) | 29FA |
| Base 3 | 112202000 |
| As time | 10746 seconds = 2 h 59 min 6 s |
Is 10746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10746 ÷ 2 = 5373) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10746 ÷ 3 = 3582) | 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 | Yes (10746 ÷ 6 = 1791) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (10746 ÷ 9 = 1194) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10746 a prime number?
No. 10746 = 2 × × 199, so it is divisible by 2.
What are the factors of 10746?
1, 2, 3, 6, 9, 18, 27, 54, 199, 398, 597, 1194, 1791, 3582, 5373, 10746.
What is 10746 in binary?
10100111111010 (hexadecimal 29FA, octal 24772).
What is the square root of 10746?
About 103.6629, exactly 3√1194.
Is 10746 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10746?
10746 is a Harshad number: divisible by its digit sum 18.