The number 83348
83348 is a composite number with 12 divisors. Its prime factorisation is × 67 × 311. Divisors (12): 1, 2, 4, 67, 134, 268, 311, 622, 1244, 20837, 41674, 83348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83348 is composite. Its prime factorisation is
- 3
The divisors add up to 148512; without 83348 itself that is 65164, so 83348 is deficient (65164 is less than 83348). Euler's totient φ(83348) = 40920 numbers up to 83348 share no factor with it.
- 4
The digits of 83348 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83348 = 2^{2} \times 67 \times 311 \]83348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 148512 |
| Euler totient φ(n) | 40920 |
| Square | 6946889104 |
| Cube | 579009313040192 |
| Square root | 288.700537 (= 2√20837) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.3348 × |
83348 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and forty-eight |
| Binary (base 2) | 10100010110010100 |
| Octal (base 8) | 242624 |
| Hexadecimal (base 16) | 14594 |
| Base 3 | 11020022222 |
| As time | 83348 seconds = 23 h 9 min 8 s |
Is 83348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83348 ÷ 2 = 41674) | 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 (83348 ÷ 4 = 20837) | 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 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 8) | 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 83348 a prime number?
No. 83348 = × 67 × 311, so it is divisible by 2.
What are the factors of 83348?
1, 2, 4, 67, 134, 268, 311, 622, 1244, 20837, 41674, 83348.
What is 83348 in binary?
10100010110010100 (hexadecimal 14594, octal 242624).
What is the square root of 83348?
About 288.7005, exactly 2√20837.
Is 83348 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 83348?
It is a composite number with 12 divisors.