The number 83388
83388 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6949. Divisors (12): 1, 2, 3, 4, 6, 12, 6949, 13898, 20847, 27796, 41694, 83388.
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How to work it out
- 1
83388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83388 is composite. Its prime factorisation is
- 3
The divisors add up to 194600; without 83388 itself that is 111212, so 83388 is abundant (111212 is more than 83388). Euler's totient φ(83388) = 27792 numbers up to 83388 share no factor with it.
- 4
The digits of 83388 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83388 = 2^{2} \times 3 \times 6949 \]83388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 194600 |
| Euler totient φ(n) | 27792 |
| Square | 6953558544 |
| Cube | 579843339867072 |
| Square root | 288.769805 (= 2√20847) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.3388 × |
83388 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and eighty-eight |
| Binary (base 2) | 10100010110111100 |
| Octal (base 8) | 242674 |
| Hexadecimal (base 16) | 145BC |
| Base 3 | 11020101110 |
| As time | 83388 seconds = 23 h 9 min 48 s |
Is 83388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83388 ÷ 2 = 41694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83388 ÷ 3 = 27796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83388 ÷ 4 = 20847) | 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 (83388 ÷ 6 = 13898) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83388 ÷ 12 = 6949) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83388 a prime number?
No. 83388 = × 3 × 6949, so it is divisible by 2.
What are the factors of 83388?
1, 2, 3, 4, 6, 12, 6949, 13898, 20847, 27796, 41694, 83388.
What is 83388 in binary?
10100010110111100 (hexadecimal 145BC, octal 242674).
What is the square root of 83388?
About 288.7698, exactly 2√20847.
Is 83388 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 83388?
It is a composite number with 12 divisors.