The number 13929
13929 is a composite number with 4 divisors. Its prime factorisation is 3 × 4643. Divisors (4): 1, 3, 4643, 13929.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13929: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 4643, the product of two primes.
- 2
13929 is composite. Its prime factorisation is
- 3
The divisors add up to 18576; without 13929 itself that is 4647, so 13929 is deficient (4647 is less than 13929). Euler's totient φ(13929) = 9284 numbers up to 13929 share no factor with it.
- 4
The digits of 13929 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13929 = 3 \times 4643 \]
13929 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18576 |
| Euler totient φ(n) | 9284 |
| Square | 194017041 |
| Cube | 2702463364089 |
| Square root | 118.021185 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3929 × |
13929 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and twenty-nine |
| Binary (base 2) | 11011001101001 |
| Octal (base 8) | 33151 |
| Hexadecimal (base 16) | 3669 |
| Base 3 | 201002220 |
| As time | 13929 seconds = 3 h 52 min 9 s |
Is 13929 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 (13929 ÷ 3 = 4643) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13929 a prime number?
No. 13929 = 3 × 4643, so it is divisible by 3.
What are the factors of 13929?
1, 3, 4643, 13929.
What is 13929 in binary?
11011001101001 (hexadecimal 3669, octal 33151).
What is the square root of 13929?
About 118.0212.
Is 13929 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13929?
13929 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 4643, the product of two primes.