The number 13802
13802 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 103. Divisors (8): 1, 2, 67, 103, 134, 206, 6901, 13802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13802 is composite. Its prime factorisation is
- 3
The divisors add up to 21216; without 13802 itself that is 7414, so 13802 is deficient (7414 is less than 13802). Euler's totient φ(13802) = 6732 numbers up to 13802 share no factor with it.
- 4
The digits of 13802 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13802 = 2 \times 67 \times 103 \]
13802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21216 |
| Euler totient φ(n) | 6732 |
| Square | 190495204 |
| Cube | 2629214805608 |
| Square root | 117.481914 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3802 × |
13802 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and two |
| Binary (base 2) | 11010111101010 |
| Octal (base 8) | 32752 |
| Hexadecimal (base 16) | 35EA |
| Base 3 | 200221012 |
| As time | 13802 seconds = 3 h 50 min 2 s |
Is 13802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13802 ÷ 2 = 6901) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13802 a prime number?
No. 13802 = 2 × 67 × 103, so it is divisible by 2.
What are the factors of 13802?
1, 2, 67, 103, 134, 206, 6901, 13802.
What is 13802 in binary?
11010111101010 (hexadecimal 35EA, octal 32752).
What is the square root of 13802?
About 117.4819.
Is 13802 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13802?
It is a composite number with 8 divisors.