The number 13398
13398 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 29. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 29, 33, 42, 58, 66, 77, 87 … 13398.
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How to work it out
- 1
13398 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13398 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 13398 itself that is 21162, so 13398 is abundant (21162 is more than 13398). Euler's totient φ(13398) = 3360 numbers up to 13398 share no factor with it.
- 4
The digits of 13398 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13398 = 2 \times 3 \times 7 \times 11 \times 29 \]
13398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 3360 |
| Square | 179506404 |
| Cube | 2405026800792 |
| Square root | 115.749730 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3398 × |
13398 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and ninety-eight |
| Binary (base 2) | 11010001010110 |
| Octal (base 8) | 32126 |
| Hexadecimal (base 16) | 3456 |
| Base 3 | 200101020 |
| As time | 13398 seconds = 3 h 43 min 18 s |
Is 13398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13398 ÷ 2 = 6699) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13398 ÷ 3 = 4466) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13398 ÷ 6 = 2233) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13398 ÷ 7 = 1914) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (13398 ÷ 11 = 1218) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13398 a prime number?
No. 13398 = 2 × 3 × 7 × 11 × 29, so it is divisible by 2.
What are the factors of 13398?
1, 2, 3, 6, 7, 11, 14, 21, 22, 29, 33, 42, 58, 66, 77, 87, 154, 174, 203, 231, 319, 406, 462, 609, 638, 957, 1218, 1914, 2233, 4466, 6699, 13398.
What is 13398 in binary?
11010001010110 (hexadecimal 3456, octal 32126).
What is the square root of 13398?
About 115.7497.
Is 13398 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13398?
It is a composite number with 32 divisors.