The number 83390
83390 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 31 × 269. Divisors (16): 1, 2, 5, 10, 31, 62, 155, 269, 310, 538, 1345, 2690, 8339, 16678, 41695, 83390.
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How to work it out
- 1
83390 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83390 is composite. Its prime factorisation is
- 3
The divisors add up to 155520; without 83390 itself that is 72130, so 83390 is deficient (72130 is less than 83390). Euler's totient φ(83390) = 32160 numbers up to 83390 share no factor with it.
- 4
The digits of 83390 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83390 = 2 \times 5 \times 31 \times 269 \]
83390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 155520 |
| Euler totient φ(n) | 32160 |
| Square | 6953892100 |
| Cube | 579885062219000 |
| Square root | 288.773267 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.339 × |
83390 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and ninety |
| Binary (base 2) | 10100010110111110 |
| Octal (base 8) | 242676 |
| Hexadecimal (base 16) | 145BE |
| Base 3 | 11020101112 |
| As time | 83390 seconds = 23 h 9 min 50 s |
Is 83390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83390 ÷ 2 = 41695) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83390 ÷ 5 = 16678) | 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 | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83390 ÷ 10 = 8339) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83390 a prime number?
No. 83390 = 2 × 5 × 31 × 269, so it is divisible by 2.
What are the factors of 83390?
1, 2, 5, 10, 31, 62, 155, 269, 310, 538, 1345, 2690, 8339, 16678, 41695, 83390.
What is 83390 in binary?
10100010110111110 (hexadecimal 145BE, octal 242676).
What is the square root of 83390?
About 288.7733.
Is 83390 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83390?
It is a composite number with 16 divisors.