The number 11742
11742 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 103. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 103, 114, 206, 309, 618, 1957, 3914, 5871, 11742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11742 is composite. Its prime factorisation is
- 3
The divisors add up to 24960; without 11742 itself that is 13218, so 11742 is abundant (13218 is more than 11742). Euler's totient φ(11742) = 3672 numbers up to 11742 share no factor with it.
- 4
The digits of 11742 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11742 = 2 \times 3 \times 19 \times 103 \]
11742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24960 |
| Euler totient φ(n) | 3672 |
| Square | 137874564 |
| Cube | 1618923130488 |
| Square root | 108.360509 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1742 × |
11742 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and forty-two |
| Binary (base 2) | 10110111011110 |
| Octal (base 8) | 26736 |
| Hexadecimal (base 16) | 2DDE |
| Base 3 | 121002220 |
| As time | 11742 seconds = 3 h 15 min 42 s |
Is 11742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11742 ÷ 2 = 5871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11742 ÷ 3 = 3914) | 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 | Yes (11742 ÷ 6 = 1957) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | 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 11742 a prime number?
No. 11742 = 2 × 3 × 19 × 103, so it is divisible by 2.
What are the factors of 11742?
1, 2, 3, 6, 19, 38, 57, 103, 114, 206, 309, 618, 1957, 3914, 5871, 11742.
What is 11742 in binary?
10110111011110 (hexadecimal 2DDE, octal 26736).
What is the square root of 11742?
About 108.3605.
Is 11742 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 11742?
It is a composite number with 16 divisors.