The number 3745
3745 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 107. Divisors (8): 1, 5, 7, 35, 107, 535, 749, 3745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3745 is composite. Its prime factorisation is
- 3
The divisors add up to 5184; without 3745 itself that is 1439, so 3745 is deficient (1439 is less than 3745). Euler's totient φ(3745) = 2544 numbers up to 3745 share no factor with it.
- 4
The digits of 3745 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3745 = 5 \times 7 \times 107 \]
3745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5184 |
| Euler totient φ(n) | 2544 |
| Square | 14025025 |
| Cube | 52523718625 |
| Square root | 61.196405 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 162 |
| Scientific notation | 3.745 × |
3745 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and forty-five |
| Roman numerals | MMMDCCXLV |
| Binary (base 2) | 111010100001 |
| Octal (base 8) | 7241 |
| Hexadecimal (base 16) | EA1 |
| Base 3 | 12010201 |
| As time | 3745 seconds = 1 h 2 min 25 s |
Is 3745 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 | No (remainder 1) | 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 | Yes (3745 ÷ 5 = 749) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3745 ÷ 7 = 535) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3745 a prime number?
No. 3745 = 5 × 7 × 107, so it is divisible by 5.
What are the factors of 3745?
1, 5, 7, 35, 107, 535, 749, 3745.
What is 3745 in binary?
111010100001 (hexadecimal EA1, octal 7241).
What is the square root of 3745?
About 61.1964.
What is 3745 in Roman numerals?
MMMDCCXLV.
Is 3745 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3745?
It is a composite number with 8 divisors.