The number 83364
83364 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6947. Divisors (12): 1, 2, 3, 4, 6, 12, 6947, 13894, 20841, 27788, 41682, 83364.
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How to work it out
- 1
83364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83364 is composite. Its prime factorisation is
- 3
The divisors add up to 194544; without 83364 itself that is 111180, so 83364 is abundant (111180 is more than 83364). Euler's totient φ(83364) = 27784 numbers up to 83364 share no factor with it.
- 4
The digits of 83364 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83364 = 2^{2} \times 3 \times 6947 \]83364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 194544 |
| Euler totient φ(n) | 27784 |
| Square | 6949556496 |
| Cube | 579342827732544 |
| Square root | 288.728246 (= 2√20841) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.3364 × |
83364 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and sixty-four |
| Binary (base 2) | 10100010110100100 |
| Octal (base 8) | 242644 |
| Hexadecimal (base 16) | 145A4 |
| Base 3 | 11020100120 |
| As time | 83364 seconds = 23 h 9 min 24 s |
Is 83364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83364 ÷ 2 = 41682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83364 ÷ 3 = 27788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83364 ÷ 4 = 20841) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83364 ÷ 6 = 13894) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83364 ÷ 12 = 6947) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83364 a prime number?
No. 83364 = × 3 × 6947, so it is divisible by 2.
What are the factors of 83364?
1, 2, 3, 4, 6, 12, 6947, 13894, 20841, 27788, 41682, 83364.
What is 83364 in binary?
10100010110100100 (hexadecimal 145A4, octal 242644).
What is the square root of 83364?
About 288.7282, exactly 2√20841.
Is 83364 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83364?
It is a composite number with 12 divisors.