The number 3752
3752 is a composite number with 16 divisors. Its prime factorisation is × 7 × 67. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3752 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3752 is composite. Its prime factorisation is
- 3
The divisors add up to 8160; without 3752 itself that is 4408, so 3752 is abundant (4408 is more than 3752). Euler's totient φ(3752) = 1584 numbers up to 3752 share no factor with it.
- 4
The digits of 3752 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3752 = 2^{3} \times 7 \times 67 \]3752 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8160 |
| Euler totient φ(n) | 1584 |
| Square | 14077504 |
| Cube | 52818795008 |
| Square root | 61.253571 (= 2√938) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 25 |
| Scientific notation | 3.752 × |
3752 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and fifty-two |
| Roman numerals | MMMDCCLII |
| Binary (base 2) | 111010101000 |
| Octal (base 8) | 7250 |
| Hexadecimal (base 16) | EA8 |
| Base 3 | 12010222 |
| As time | 3752 seconds = 1 h 2 min 32 s |
Is 3752 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3752 ÷ 2 = 1876) | 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 | Yes (3752 ÷ 4 = 938) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3752 ÷ 7 = 536) | 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 | Yes (3752 ÷ 8 = 469) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3752 a prime number?
No. 3752 = × 7 × 67, so it is divisible by 2.
What are the factors of 3752?
1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752.
What is 3752 in binary?
111010101000 (hexadecimal EA8, octal 7250).
What is the square root of 3752?
About 61.2536, exactly 2√938.
What is 3752 in Roman numerals?
MMMDCCLII.
Is 3752 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3752?
It is a composite number with 16 divisors.