The number 83428
83428 is a composite number with 6 divisors. Its prime factorisation is × 20857. Divisors (6): 1, 2, 4, 20857, 41714, 83428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83428 is composite. Its prime factorisation is
- 3
The divisors add up to 146006; without 83428 itself that is 62578, so 83428 is deficient (62578 is less than 83428). Euler's totient φ(83428) = 41712 numbers up to 83428 share no factor with it.
- 4
The digits of 83428 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83428 = 2^{2} \times 20857 \]83428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 146006 |
| Euler totient φ(n) | 41712 |
| Square | 6960231184 |
| Cube | 580678167218752 |
| Square root | 288.839056 (= 2√20857) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3428 × |
83428 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and twenty-eight |
| Binary (base 2) | 10100010111100100 |
| Octal (base 8) | 242744 |
| Hexadecimal (base 16) | 145E4 |
| Base 3 | 11020102221 |
| As time | 83428 seconds = 23 h 10 min 28 s |
Is 83428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83428 ÷ 2 = 41714) | 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 (83428 ÷ 4 = 20857) | 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 2) | 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 7) | 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 4) | 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 83428 a prime number?
No. 83428 = × 20857, so it is divisible by 2.
What are the factors of 83428?
1, 2, 4, 20857, 41714, 83428.
What is 83428 in binary?
10100010111100100 (hexadecimal 145E4, octal 242744).
What is the square root of 83428?
About 288.8391, exactly 2√20857.
Is 83428 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 83428?
It is a composite number with 6 divisors.