The number 13348
13348 is a composite number with 12 divisors. Its prime factorisation is × 47 × 71. Divisors (12): 1, 2, 4, 47, 71, 94, 142, 188, 284, 3337, 6674, 13348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13348 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 13348 itself that is 10844, so 13348 is deficient (10844 is less than 13348). Euler's totient φ(13348) = 6440 numbers up to 13348 share no factor with it.
- 4
The digits of 13348 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13348 = 2^{2} \times 47 \times 71 \]13348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 6440 |
| Square | 178169104 |
| Cube | 2378201200192 |
| Square root | 115.533545 (= 2√3337) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3348 × |
13348 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and forty-eight |
| Binary (base 2) | 11010000100100 |
| Octal (base 8) | 32044 |
| Hexadecimal (base 16) | 3424 |
| Base 3 | 200022101 |
| As time | 13348 seconds = 3 h 42 min 28 s |
Is 13348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13348 ÷ 2 = 6674) | 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 | Yes (13348 ÷ 4 = 3337) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13348 a prime number?
No. 13348 = × 47 × 71, so it is divisible by 2.
What are the factors of 13348?
1, 2, 4, 47, 71, 94, 142, 188, 284, 3337, 6674, 13348.
What is 13348 in binary?
11010000100100 (hexadecimal 3424, octal 32044).
What is the square root of 13348?
About 115.5335, exactly 2√3337.
Is 13348 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13348?
It is a composite number with 12 divisors.