The number 13996
13996 is a composite number with 6 divisors. Its prime factorisation is × 3499. Divisors (6): 1, 2, 4, 3499, 6998, 13996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13996: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13996 is composite. Its prime factorisation is
- 3
The divisors add up to 24500; without 13996 itself that is 10504, so 13996 is deficient (10504 is less than 13996). Euler's totient φ(13996) = 6996 numbers up to 13996 share no factor with it.
- 4
The digits of 13996 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13996 = 2^{2} \times 3499 \]13996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24500 |
| Euler totient φ(n) | 6996 |
| Square | 195888016 |
| Cube | 2741648671936 |
| Square root | 118.304691 (= 2√3499) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.3996 × |
13996 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and ninety-six |
| Binary (base 2) | 11011010101100 |
| Octal (base 8) | 33254 |
| Hexadecimal (base 16) | 36AC |
| Base 3 | 201012101 |
| As time | 13996 seconds = 3 h 53 min 16 s |
Is 13996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13996 ÷ 2 = 6998) | 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 | Yes (13996 ÷ 4 = 3499) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13996 a prime number?
No. 13996 = × 3499, so it is divisible by 2.
What are the factors of 13996?
1, 2, 4, 3499, 6998, 13996.
What is 13996 in binary?
11011010101100 (hexadecimal 36AC, octal 33254).
What is the square root of 13996?
About 118.3047, exactly 2√3499.
Is 13996 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 13996?
13996 is a happy number: repeatedly adding the squares of its digits reaches 1.