The number 13352
13352 is a composite number with 8 divisors. Its prime factorisation is × 1669. Divisors (8): 1, 2, 4, 8, 1669, 3338, 6676, 13352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13352 is composite. Its prime factorisation is
- 3
The divisors add up to 25050; without 13352 itself that is 11698, so 13352 is deficient (11698 is less than 13352). Euler's totient φ(13352) = 6672 numbers up to 13352 share no factor with it.
- 4
The digits of 13352 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13352 = 2^{3} \times 1669 \]13352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25050 |
| Euler totient φ(n) | 6672 |
| Square | 178275904 |
| Cube | 2380339870208 |
| Square root | 115.550855 (= 2√3338) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3352 × |
13352 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty-two |
| Binary (base 2) | 11010000101000 |
| Octal (base 8) | 32050 |
| Hexadecimal (base 16) | 3428 |
| Base 3 | 200022112 |
| As time | 13352 seconds = 3 h 42 min 32 s |
Is 13352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13352 ÷ 2 = 6676) | 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 | Yes (13352 ÷ 4 = 3338) | 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 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 | Yes (13352 ÷ 8 = 1669) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13352 a prime number?
No. 13352 = × 1669, so it is divisible by 2.
What are the factors of 13352?
1, 2, 4, 8, 1669, 3338, 6676, 13352.
What is 13352 in binary?
11010000101000 (hexadecimal 3428, octal 32050).
What is the square root of 13352?
About 115.5509, exactly 2√3338.
Is 13352 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13352?
It is a composite number with 8 divisors.