The number 10742
10742 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 131. Divisors (8): 1, 2, 41, 82, 131, 262, 5371, 10742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10742: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10742 is composite. Its prime factorisation is
- 3
The divisors add up to 16632; without 10742 itself that is 5890, so 10742 is deficient (5890 is less than 10742). Euler's totient φ(10742) = 5200 numbers up to 10742 share no factor with it.
- 4
The digits of 10742 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10742 = 2 \times 41 \times 131 \]
10742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16632 |
| Euler totient φ(n) | 5200 |
| Square | 115390564 |
| Cube | 1239525438488 |
| Square root | 103.643620 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.0742 × |
10742 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and forty-two |
| Binary (base 2) | 10100111110110 |
| Octal (base 8) | 24766 |
| Hexadecimal (base 16) | 29F6 |
| Base 3 | 112201212 |
| As time | 10742 seconds = 2 h 59 min 2 s |
Is 10742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10742 ÷ 2 = 5371) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10742 a prime number?
No. 10742 = 2 × 41 × 131, so it is divisible by 2.
What are the factors of 10742?
1, 2, 41, 82, 131, 262, 5371, 10742.
What is 10742 in binary?
10100111110110 (hexadecimal 29F6, octal 24766).
What is the square root of 10742?
About 103.6436.
Is 10742 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10742?
10742 is a happy number: repeatedly adding the squares of its digits reaches 1.