The number 3746
3746 is a composite number with 4 divisors. Its prime factorisation is 2 × 1873. Divisors (4): 1, 2, 1873, 3746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3746: a semiprime: 2 × 1873, the product of two primes.
- 2
3746 is composite. Its prime factorisation is
- 3
The divisors add up to 5622; without 3746 itself that is 1876, so 3746 is deficient (1876 is less than 3746). Euler's totient φ(3746) = 1872 numbers up to 3746 share no factor with it.
- 4
The digits of 3746 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3746 = 2 \times 1873 \]
3746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5622 |
| Euler totient φ(n) | 1872 |
| Square | 14032516 |
| Cube | 52565804936 |
| Square root | 61.204575 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.746 × |
3746 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and forty-six |
| Roman numerals | MMMDCCXLVI |
| Binary (base 2) | 111010100010 |
| Octal (base 8) | 7242 |
| Hexadecimal (base 16) | EA2 |
| Base 3 | 12010202 |
| As time | 3746 seconds = 1 h 2 min 26 s |
Is 3746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3746 ÷ 2 = 1873) | 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 1) | 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 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 | No (remainder 2) | 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 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 3746 a prime number?
No. 3746 = 2 × 1873, so it is divisible by 2.
What are the factors of 3746?
1, 2, 1873, 3746.
What is 3746 in binary?
111010100010 (hexadecimal EA2, octal 7242).
What is the square root of 3746?
About 61.2046.
What is 3746 in Roman numerals?
MMMDCCXLVI.
Is 3746 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3746?
3746 is a semiprime: 2 × 1873, the product of two primes.