The number 3949
3949 is a composite number with 4 divisors. Its prime factorisation is 11 × 359. Divisors (4): 1, 11, 359, 3949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3949: a semiprime: 11 × 359, the product of two primes.
- 2
3949 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 3949 itself that is 371, so 3949 is deficient (371 is less than 3949). Euler's totient φ(3949) = 3580 numbers up to 3949 share no factor with it.
- 4
The digits of 3949 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3949 = 11 \times 359 \]
3949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 3580 |
| Square | 15594601 |
| Cube | 61583079349 |
| Square root | 62.841069 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.949 × |
3949 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and forty-nine |
| Roman numerals | MMMCMXLIX |
| Binary (base 2) | 111101101101 |
| Octal (base 8) | 7555 |
| Hexadecimal (base 16) | F6D |
| Base 3 | 12102021 |
| As time | 3949 seconds = 1 h 5 min 49 s |
Is 3949 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 4) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (3949 ÷ 11 = 359) | 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 3949 a prime number?
No. 3949 = 11 × 359, so it is divisible by 11.
What are the factors of 3949?
1, 11, 359, 3949.
What is 3949 in binary?
111101101101 (hexadecimal F6D, octal 7555).
What is the square root of 3949?
About 62.8411.
What is 3949 in Roman numerals?
MMMCMXLIX.
Is 3949 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 3949?
3949 is a semiprime: 11 × 359, the product of two primes.