The number 3937
3937 is a composite number with 4 divisors. Its prime factorisation is 31 × 127. Divisors (4): 1, 31, 127, 3937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3937: a semiprime: 31 × 127, the product of two primes.
- 2
3937 is composite. Its prime factorisation is
- 3
The divisors add up to 4096; without 3937 itself that is 159, so 3937 is deficient (159 is less than 3937). Euler's totient φ(3937) = 3780 numbers up to 3937 share no factor with it.
- 4
The digits of 3937 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3937 = 31 \times 127 \]
3937 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4096 |
| Euler totient φ(n) | 3780 |
| Square | 15499969 |
| Cube | 61023377953 |
| Square root | 62.745518 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 126 |
| Scientific notation | 3.937 × |
3937 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and thirty-seven |
| Roman numerals | MMMCMXXXVII |
| Binary (base 2) | 111101100001 |
| Octal (base 8) | 7541 |
| Hexadecimal (base 16) | F61 |
| Base 3 | 12101211 |
| As time | 3937 seconds = 1 h 5 min 37 s |
Is 3937 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 | No (remainder 2) | 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 | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 3937 a prime number?
No. 3937 = 31 × 127, so it is divisible by 31.
What are the factors of 3937?
1, 31, 127, 3937.
What is 3937 in binary?
111101100001 (hexadecimal F61, octal 7541).
What is the square root of 3937?
About 62.7455.
What is 3937 in Roman numerals?
MMMCMXXXVII.
Is 3937 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3937?
3937 is a semiprime: 31 × 127, the product of two primes.