The number 3742
3742 is a composite number with 4 divisors. Its prime factorisation is 2 × 1871. Divisors (4): 1, 2, 1871, 3742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3742: a semiprime: 2 × 1871, the product of two primes.
- 2
3742 is composite. Its prime factorisation is
- 3
The divisors add up to 5616; without 3742 itself that is 1874, so 3742 is deficient (1874 is less than 3742). Euler's totient φ(3742) = 1870 numbers up to 3742 share no factor with it.
- 4
The digits of 3742 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3742 = 2 \times 1871 \]
3742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5616 |
| Euler totient φ(n) | 1870 |
| Square | 14002564 |
| Cube | 52397594488 |
| Square root | 61.171889 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.742 × |
3742 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and forty-two |
| Roman numerals | MMMDCCXLII |
| Binary (base 2) | 111010011110 |
| Octal (base 8) | 7236 |
| Hexadecimal (base 16) | E9E |
| Base 3 | 12010121 |
| As time | 3742 seconds = 1 h 2 min 22 s |
Is 3742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3742 ÷ 2 = 1871) | 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 | 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 4) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3742 a prime number?
No. 3742 = 2 × 1871, so it is divisible by 2.
What are the factors of 3742?
1, 2, 1871, 3742.
What is 3742 in binary?
111010011110 (hexadecimal E9E, octal 7236).
What is the square root of 3742?
About 61.1719.
What is 3742 in Roman numerals?
MMMDCCXLII.
Is 3742 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3742?
3742 is a semiprime: 2 × 1871, the product of two primes.