The number 8398
8398 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 19. Divisors (16): 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8398 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8398 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 8398 itself that is 6722, so 8398 is deficient (6722 is less than 8398). Euler's totient φ(8398) = 3456 numbers up to 8398 share no factor with it.
- 4
The digits of 8398 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8398 = 2 \times 13 \times 17 \times 19 \]
8398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 3456 |
| Square | 70526404 |
| Cube | 592280740792 |
| Square root | 91.640602 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.398 × |
8398 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and ninety-eight |
| Binary (base 2) | 10000011001110 |
| Octal (base 8) | 20316 |
| Hexadecimal (base 16) | 20CE |
| Base 3 | 102112001 |
| As time | 8398 seconds = 2 h 19 min 58 s |
Is 8398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8398 ÷ 2 = 4199) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8398 a prime number?
No. 8398 = 2 × 13 × 17 × 19, so it is divisible by 2.
What are the factors of 8398?
1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398.
What is 8398 in binary?
10000011001110 (hexadecimal 20CE, octal 20316).
What is the square root of 8398?
About 91.6406.
Is 8398 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 8398?
It is a composite number with 16 divisors.