The number 83990
83990 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 37 × 227. Divisors (16): 1, 2, 5, 10, 37, 74, 185, 227, 370, 454, 1135, 2270, 8399, 16798, 41995, 83990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83990 is composite. Its prime factorisation is
- 3
The divisors add up to 155952; without 83990 itself that is 71962, so 83990 is deficient (71962 is less than 83990). Euler's totient φ(83990) = 32544 numbers up to 83990 share no factor with it.
- 4
The digits of 83990 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83990 = 2 \times 5 \times 37 \times 227 \]
83990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 155952 |
| Euler totient φ(n) | 32544 |
| Square | 7054320100 |
| Cube | 592492345199000 |
| Square root | 289.810283 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.399 × |
83990 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and ninety |
| Binary (base 2) | 10100100000010110 |
| Octal (base 8) | 244026 |
| Hexadecimal (base 16) | 14816 |
| Base 3 | 11021012202 |
| As time | 83990 seconds = 23 h 19 min 50 s |
Is 83990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83990 ÷ 2 = 41995) | 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 (83990 ÷ 5 = 16798) | 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 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 6) | 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 (83990 ÷ 10 = 8399) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 83990 a prime number?
No. 83990 = 2 × 5 × 37 × 227, so it is divisible by 2.
What are the factors of 83990?
1, 2, 5, 10, 37, 74, 185, 227, 370, 454, 1135, 2270, 8399, 16798, 41995, 83990.
What is 83990 in binary?
10100100000010110 (hexadecimal 14816, octal 244026).
What is the square root of 83990?
About 289.8103.
Is 83990 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 83990?
It is a composite number with 16 divisors.