The number 13388
13388 is a composite number with 6 divisors. Its prime factorisation is × 3347. Divisors (6): 1, 2, 4, 3347, 6694, 13388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13388 is composite. Its prime factorisation is
- 3
The divisors add up to 23436; without 13388 itself that is 10048, so 13388 is deficient (10048 is less than 13388). Euler's totient φ(13388) = 6692 numbers up to 13388 share no factor with it.
- 4
The digits of 13388 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13388 = 2^{2} \times 3347 \]13388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23436 |
| Euler totient φ(n) | 6692 |
| Square | 179238544 |
| Cube | 2399645627072 |
| Square root | 115.706525 (= 2√3347) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3388 × |
13388 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eighty-eight |
| Binary (base 2) | 11010001001100 |
| Octal (base 8) | 32114 |
| Hexadecimal (base 16) | 344C |
| Base 3 | 200100212 |
| As time | 13388 seconds = 3 h 43 min 8 s |
Is 13388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13388 ÷ 2 = 6694) | 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 (13388 ÷ 4 = 3347) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13388 a prime number?
No. 13388 = × 3347, so it is divisible by 2.
What are the factors of 13388?
1, 2, 4, 3347, 6694, 13388.
What is 13388 in binary?
11010001001100 (hexadecimal 344C, octal 32114).
What is the square root of 13388?
About 115.7065, exactly 2√3347.
Is 13388 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13388?
It is a composite number with 6 divisors.