The number 13699
13699 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 103. Divisors (8): 1, 7, 19, 103, 133, 721, 1957, 13699.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13699: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13699 is composite. Its prime factorisation is
- 3
The divisors add up to 16640; without 13699 itself that is 2941, so 13699 is deficient (2941 is less than 13699). Euler's totient φ(13699) = 11016 numbers up to 13699 share no factor with it.
- 4
The digits of 13699 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13699 = 7 \times 19 \times 103 \]
13699 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16640 |
| Euler totient φ(n) | 11016 |
| Square | 187662601 |
| Cube | 2570789971099 |
| Square root | 117.042727 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3699 × |
13699 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and ninety-nine |
| Binary (base 2) | 11010110000011 |
| Octal (base 8) | 32603 |
| Hexadecimal (base 16) | 3583 |
| Base 3 | 200210101 |
| As time | 13699 seconds = 3 h 48 min 19 s |
Is 13699 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13699 ÷ 7 = 1957) | 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 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13699 a prime number?
No. 13699 = 7 × 19 × 103, so it is divisible by 7.
What are the factors of 13699?
1, 7, 19, 103, 133, 721, 1957, 13699.
What is 13699 in binary?
11010110000011 (hexadecimal 3583, octal 32603).
What is the square root of 13699?
About 117.0427.
Is 13699 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 13699?
13699 is a happy number: repeatedly adding the squares of its digits reaches 1.