The number 83090
83090 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 1187. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 1187, 2374, 5935, 8309, 11870, 16618, 41545, 83090.
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How to work it out
- 1
83090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83090 is composite. Its prime factorisation is
- 3
The divisors add up to 171072; without 83090 itself that is 87982, so 83090 is abundant (87982 is more than 83090). Euler's totient φ(83090) = 28464 numbers up to 83090 share no factor with it.
- 4
The digits of 83090 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83090 = 2 \times 5 \times 7 \times 1187 \]
83090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 171072 |
| Euler totient φ(n) | 28464 |
| Square | 6903948100 |
| Cube | 573649047629000 |
| Square root | 288.253361 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.309 × |
83090 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and ninety |
| Binary (base 2) | 10100010010010010 |
| Octal (base 8) | 242222 |
| Hexadecimal (base 16) | 14492 |
| Base 3 | 11012222102 |
| As time | 83090 seconds = 23 h 4 min 50 s |
Is 83090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83090 ÷ 2 = 41545) | 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 (83090 ÷ 5 = 16618) | 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 (83090 ÷ 7 = 11870) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83090 ÷ 10 = 8309) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83090 a prime number?
No. 83090 = 2 × 5 × 7 × 1187, so it is divisible by 2.
What are the factors of 83090?
1, 2, 5, 7, 10, 14, 35, 70, 1187, 2374, 5935, 8309, 11870, 16618, 41545, 83090.
What is 83090 in binary?
10100010010010010 (hexadecimal 14492, octal 242222).
What is the square root of 83090?
About 288.2534.
Is 83090 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83090?
It is a composite number with 16 divisors.