The number 83384
83384 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1489. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1489, 2978, 5956, 10423, 11912, 20846, 41692, 83384.
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How to work it out
- 1
83384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83384 is composite. Its prime factorisation is
- 3
The divisors add up to 178800; without 83384 itself that is 95416, so 83384 is abundant (95416 is more than 83384). Euler's totient φ(83384) = 35712 numbers up to 83384 share no factor with it.
- 4
The digits of 83384 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83384 = 2^{3} \times 7 \times 1489 \]83384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 178800 |
| Euler totient φ(n) | 35712 |
| Square | 6952891456 |
| Cube | 579759901167104 |
| Square root | 288.762879 (= 2√20846) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.3384 × |
83384 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and eighty-four |
| Binary (base 2) | 10100010110111000 |
| Octal (base 8) | 242670 |
| Hexadecimal (base 16) | 145B8 |
| Base 3 | 11020101022 |
| As time | 83384 seconds = 23 h 9 min 44 s |
Is 83384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83384 ÷ 2 = 41692) | 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 (83384 ÷ 4 = 20846) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83384 ÷ 7 = 11912) | 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 | Yes (83384 ÷ 8 = 10423) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83384 a prime number?
No. 83384 = × 7 × 1489, so it is divisible by 2.
What are the factors of 83384?
1, 2, 4, 7, 8, 14, 28, 56, 1489, 2978, 5956, 10423, 11912, 20846, 41692, 83384.
What is 83384 in binary?
10100010110111000 (hexadecimal 145B8, octal 242670).
What is the square root of 83384?
About 288.7629, exactly 2√20846.
Is 83384 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 83384?
It is a composite number with 16 divisors.