The number 3741
3741 is a triangular number: 1 + 2 + … + 86 = 3741. Its prime factorisation is 3 × 29 × 43. Divisors (8): 1, 3, 29, 43, 87, 129, 1247, 3741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3741: a triangular number: 1 + 2 + … + 86 = 3741.
- 2
3741 is composite. Its prime factorisation is
- 3
The divisors add up to 5280; without 3741 itself that is 1539, so 3741 is deficient (1539 is less than 3741). Euler's totient φ(3741) = 2352 numbers up to 3741 share no factor with it.
- 4
The digits of 3741 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3741 = 3 \times 29 \times 43 \]
3741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5280 |
| Euler totient φ(n) | 2352 |
| Square | 13995081 |
| Cube | 52355598021 |
| Square root | 61.163715 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.741 × |
3741 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and forty-one |
| Roman numerals | MMMDCCXLI |
| Binary (base 2) | 111010011101 |
| Octal (base 8) | 7235 |
| Hexadecimal (base 16) | E9D |
| Base 3 | 12010120 |
| As time | 3741 seconds = 1 h 2 min 21 s |
Is 3741 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3741 ÷ 3 = 1247) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3741 a prime number?
No. 3741 = 3 × 29 × 43, so it is divisible by 3.
What are the factors of 3741?
1, 3, 29, 43, 87, 129, 1247, 3741.
What is 3741 in binary?
111010011101 (hexadecimal E9D, octal 7235).
What is the square root of 3741?
About 61.1637.
What is 3741 in Roman numerals?
MMMDCCXLI.
Is 3741 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3741?
3741 is a triangular number: 1 + 2 + … + 86 = 3741.