The number 83840
83840 is a composite number with 32 divisors. Its prime factorisation is × 5 × 131. Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 131, 160, 262 … 83840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83840 is composite. Its prime factorisation is
- 3
The divisors add up to 201960; without 83840 itself that is 118120, so 83840 is abundant (118120 is more than 83840). Euler's totient φ(83840) = 33280 numbers up to 83840 share no factor with it.
- 4
The digits of 83840 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83840 = 2^{7} \times 5 \times 131 \]83840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 201960 |
| Euler totient φ(n) | 33280 |
| Square | 7029145600 |
| Cube | 589323567104000 |
| Square root | 289.551377 (= 8√1310) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.384 × |
83840 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and forty |
| Binary (base 2) | 10100011110000000 |
| Octal (base 8) | 243600 |
| Hexadecimal (base 16) | 14780 |
| Base 3 | 11021000012 |
| As time | 83840 seconds = 23 h 17 min 20 s |
Is 83840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83840 ÷ 2 = 41920) | 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 (83840 ÷ 4 = 20960) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83840 ÷ 5 = 16768) | 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 1) | 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 (83840 ÷ 8 = 10480) | 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 (83840 ÷ 10 = 8384) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 83840 a prime number?
No. 83840 = × 5 × 131, so it is divisible by 2.
What are the factors of 83840?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 131, 160, 262, 320, 524, 640, 655, 1048, 1310, 2096, 2620, 4192, 5240, 8384, 10480, 16768, 20960, 41920, 83840.
What is 83840 in binary?
10100011110000000 (hexadecimal 14780, octal 243600).
What is the square root of 83840?
About 289.5514, exactly 8√1310.
Is 83840 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83840?
It is a composite number with 32 divisors.