The number 83838
83838 is a palindrome: it reads 83838 backwards too. Its prime factorisation is 2 × 3 × 89 × 157. Divisors (16): 1, 2, 3, 6, 89, 157, 178, 267, 314, 471, 534, 942, 13973, 27946, 41919, 83838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83838: a palindrome: it reads 83838 backwards too.
- 2
83838 is composite. Its prime factorisation is
- 3
The divisors add up to 170640; without 83838 itself that is 86802, so 83838 is abundant (86802 is more than 83838). Euler's totient φ(83838) = 27456 numbers up to 83838 share no factor with it.
- 4
The digits of 83838 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83838 = 2 \times 3 \times 89 \times 157 \]
83838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 170640 |
| Euler totient φ(n) | 27456 |
| Square | 7028810244 |
| Cube | 589281393236472 |
| Square root | 289.547923 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.3838 × |
83838 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and thirty-eight |
| Binary (base 2) | 10100011101111110 |
| Octal (base 8) | 243576 |
| Hexadecimal (base 16) | 1477E |
| Base 3 | 11021000010 |
| As time | 83838 seconds = 23 h 17 min 18 s |
Is 83838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83838 ÷ 2 = 41919) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83838 ÷ 3 = 27946) | 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 (83838 ÷ 6 = 13973) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | 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 83838 a prime number?
No. 83838 = 2 × 3 × 89 × 157, so it is divisible by 2.
What are the factors of 83838?
1, 2, 3, 6, 89, 157, 178, 267, 314, 471, 534, 942, 13973, 27946, 41919, 83838.
What is 83838 in binary?
10100011101111110 (hexadecimal 1477E, octal 243576).
What is the square root of 83838?
About 289.5479.
Is 83838 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 83838?
83838 is a palindrome: it reads 83838 backwards too.