The number 13949
13949 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 37. Divisors (8): 1, 13, 29, 37, 377, 481, 1073, 13949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13949: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13949 is composite. Its prime factorisation is
- 3
The divisors add up to 15960; without 13949 itself that is 2011, so 13949 is deficient (2011 is less than 13949). Euler's totient φ(13949) = 12096 numbers up to 13949 share no factor with it.
- 4
The digits of 13949 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13949 = 13 \times 29 \times 37 \]
13949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15960 |
| Euler totient φ(n) | 12096 |
| Square | 194574601 |
| Cube | 2714121109349 |
| Square root | 118.105885 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.3949 × |
13949 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and forty-nine |
| Binary (base 2) | 11011001111101 |
| Octal (base 8) | 33175 |
| Hexadecimal (base 16) | 367D |
| Base 3 | 201010122 |
| As time | 13949 seconds = 3 h 52 min 29 s |
Is 13949 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 2) | 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 5) | 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 5) | 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 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13949 a prime number?
No. 13949 = 13 × 29 × 37, so it is divisible by 13.
What are the factors of 13949?
1, 13, 29, 37, 377, 481, 1073, 13949.
What is 13949 in binary?
11011001111101 (hexadecimal 367D, octal 33175).
What is the square root of 13949?
About 118.1059.
Is 13949 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13949?
13949 is a happy number: repeatedly adding the squares of its digits reaches 1.