The number 3748
3748 is a composite number with 6 divisors. Its prime factorisation is × 937. Divisors (6): 1, 2, 4, 937, 1874, 3748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3748 is composite. Its prime factorisation is
- 3
The divisors add up to 6566; without 3748 itself that is 2818, so 3748 is deficient (2818 is less than 3748). Euler's totient φ(3748) = 1872 numbers up to 3748 share no factor with it.
- 4
The digits of 3748 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3748 = 2^{2} \times 937 \]3748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6566 |
| Euler totient φ(n) | 1872 |
| Square | 14047504 |
| Cube | 52650044992 |
| Square root | 61.220911 (= 2√937) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 175 |
| Scientific notation | 3.748 × |
3748 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and forty-eight |
| Roman numerals | MMMDCCXLVIII |
| Binary (base 2) | 111010100100 |
| Octal (base 8) | 7244 |
| Hexadecimal (base 16) | EA4 |
| Base 3 | 12010211 |
| As time | 3748 seconds = 1 h 2 min 28 s |
Is 3748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3748 ÷ 2 = 1874) | 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 | Yes (3748 ÷ 4 = 937) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3748 a prime number?
No. 3748 = × 937, so it is divisible by 2.
What are the factors of 3748?
1, 2, 4, 937, 1874, 3748.
What is 3748 in binary?
111010100100 (hexadecimal EA4, octal 7244).
What is the square root of 3748?
About 61.2209, exactly 2√937.
What is 3748 in Roman numerals?
MMMDCCXLVIII.
Is 3748 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3748?
It is a composite number with 6 divisors.