The number 3939
3939 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 101. Divisors (8): 1, 3, 13, 39, 101, 303, 1313, 3939.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3939 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3939 is composite. Its prime factorisation is
- 3
The divisors add up to 5712; without 3939 itself that is 1773, so 3939 is deficient (1773 is less than 3939). Euler's totient φ(3939) = 2400 numbers up to 3939 share no factor with it.
- 4
The digits of 3939 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3939 = 3 \times 13 \times 101 \]
3939 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5712 |
| Euler totient φ(n) | 2400 |
| Square | 15515721 |
| Cube | 61116425019 |
| Square root | 62.761453 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 25 |
| Scientific notation | 3.939 × |
3939 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and thirty-nine |
| Roman numerals | MMMCMXXXIX |
| Binary (base 2) | 111101100011 |
| Octal (base 8) | 7543 |
| Hexadecimal (base 16) | F63 |
| Base 3 | 12101220 |
| As time | 3939 seconds = 1 h 5 min 39 s |
Is 3939 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 (3939 ÷ 3 = 1313) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 3) | 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 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3939 a prime number?
No. 3939 = 3 × 13 × 101, so it is divisible by 3.
What are the factors of 3939?
1, 3, 13, 39, 101, 303, 1313, 3939.
What is 3939 in binary?
111101100011 (hexadecimal F63, octal 7543).
What is the square root of 3939?
About 62.7615.
What is 3939 in Roman numerals?
MMMCMXXXIX.
Is 3939 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3939?
It is a composite number with 8 divisors.