The number 83240
83240 is a composite number with 16 divisors. Its prime factorisation is × 5 × 2081. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 2081, 4162, 8324, 10405, 16648, 20810, 41620, 83240.
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How to work it out
- 1
83240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83240 is composite. Its prime factorisation is
- 3
The divisors add up to 187380; without 83240 itself that is 104140, so 83240 is abundant (104140 is more than 83240). Euler's totient φ(83240) = 33280 numbers up to 83240 share no factor with it.
- 4
The digits of 83240 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83240 = 2^{3} \times 5 \times 2081 \]83240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 187380 |
| Euler totient φ(n) | 33280 |
| Square | 6928897600 |
| Cube | 576761436224000 |
| Square root | 288.513431 (= 2√20810) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.324 × |
83240 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and forty |
| Binary (base 2) | 10100010100101000 |
| Octal (base 8) | 242450 |
| Hexadecimal (base 16) | 14528 |
| Base 3 | 11020011222 |
| As time | 83240 seconds = 23 h 7 min 20 s |
Is 83240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83240 ÷ 2 = 41620) | 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 (83240 ÷ 4 = 20810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83240 ÷ 5 = 16648) | 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 3) | 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 (83240 ÷ 8 = 10405) | 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 | Yes (83240 ÷ 10 = 8324) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 83240 a prime number?
No. 83240 = × 5 × 2081, so it is divisible by 2.
What are the factors of 83240?
1, 2, 4, 5, 8, 10, 20, 40, 2081, 4162, 8324, 10405, 16648, 20810, 41620, 83240.
What is 83240 in binary?
10100010100101000 (hexadecimal 14528, octal 242450).
What is the square root of 83240?
About 288.5134, exactly 2√20810.
Is 83240 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 83240?
It is a composite number with 16 divisors.