The number 83420
83420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 43 × 97. Divisors (24): 1, 2, 4, 5, 10, 20, 43, 86, 97, 172, 194, 215, 388, 430, 485, 860 … 83420.
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How to work it out
- 1
83420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83420 is composite. Its prime factorisation is
- 3
The divisors add up to 181104; without 83420 itself that is 97684, so 83420 is abundant (97684 is more than 83420). Euler's totient φ(83420) = 32256 numbers up to 83420 share no factor with it.
- 4
The digits of 83420 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83420 = 2^{2} \times 5 \times 43 \times 97 \]83420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 181104 |
| Euler totient φ(n) | 32256 |
| Square | 6958896400 |
| Cube | 580511137688000 |
| Square root | 288.825207 (= 2√20855) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 8.342 × |
83420 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and twenty |
| Binary (base 2) | 10100010111011100 |
| Octal (base 8) | 242734 |
| Hexadecimal (base 16) | 145DC |
| Base 3 | 11020102122 |
| As time | 83420 seconds = 23 h 10 min 20 s |
Is 83420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83420 ÷ 2 = 41710) | 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 (83420 ÷ 4 = 20855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83420 ÷ 5 = 16684) | 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 | No (remainder 4) | 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 (83420 ÷ 10 = 8342) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83420 a prime number?
No. 83420 = × 5 × 43 × 97, so it is divisible by 2.
What are the factors of 83420?
1, 2, 4, 5, 10, 20, 43, 86, 97, 172, 194, 215, 388, 430, 485, 860, 970, 1940, 4171, 8342, 16684, 20855, 41710, 83420.
What is 83420 in binary?
10100010111011100 (hexadecimal 145DC, octal 242734).
What is the square root of 83420?
About 288.8252, exactly 2√20855.
Is 83420 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 83420?
It is a composite number with 24 divisors.