The number 13202
13202 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 23 × 41. Divisors (16): 1, 2, 7, 14, 23, 41, 46, 82, 161, 287, 322, 574, 943, 1886, 6601, 13202.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13202 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13202 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 13202 itself that is 10990, so 13202 is deficient (10990 is less than 13202). Euler's totient φ(13202) = 5280 numbers up to 13202 share no factor with it.
- 4
The digits of 13202 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13202 = 2 \times 7 \times 23 \times 41 \]
13202 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 5280 |
| Square | 174292804 |
| Cube | 2301013598408 |
| Square root | 114.899956 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3202 × |
13202 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and two |
| Binary (base 2) | 11001110010010 |
| Octal (base 8) | 31622 |
| Hexadecimal (base 16) | 3392 |
| Base 3 | 200002222 |
| As time | 13202 seconds = 3 h 40 min 2 s |
Is 13202 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13202 ÷ 2 = 6601) | 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 | Yes (13202 ÷ 7 = 1886) | 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 8) | 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 2) | 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 13202 a prime number?
No. 13202 = 2 × 7 × 23 × 41, so it is divisible by 2.
What are the factors of 13202?
1, 2, 7, 14, 23, 41, 46, 82, 161, 287, 322, 574, 943, 1886, 6601, 13202.
What is 13202 in binary?
11001110010010 (hexadecimal 3392, octal 31622).
What is the square root of 13202?
About 114.9000.
Is 13202 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 13202?
It is a composite number with 16 divisors.