The number 83120
83120 is a composite number with 20 divisors. Its prime factorisation is × 5 × 1039. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1039, 2078, 4156, 5195, 8312, 10390 … 83120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83120 is composite. Its prime factorisation is
- 3
The divisors add up to 193440; without 83120 itself that is 110320, so 83120 is abundant (110320 is more than 83120). Euler's totient φ(83120) = 33216 numbers up to 83120 share no factor with it.
- 4
The digits of 83120 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83120 = 2^{4} \times 5 \times 1039 \]83120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 193440 |
| Euler totient φ(n) | 33216 |
| Square | 6908934400 |
| Cube | 574270627328000 |
| Square root | 288.305394 (= 4√5195) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.312 × |
83120 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and twenty |
| Binary (base 2) | 10100010010110000 |
| Octal (base 8) | 242260 |
| Hexadecimal (base 16) | 144B0 |
| Base 3 | 11020000112 |
| As time | 83120 seconds = 23 h 5 min 20 s |
Is 83120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83120 ÷ 2 = 41560) | 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 (83120 ÷ 4 = 20780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83120 ÷ 5 = 16624) | 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 2) | 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 (83120 ÷ 8 = 10390) | 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 (83120 ÷ 10 = 8312) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 83120 a prime number?
No. 83120 = × 5 × 1039, so it is divisible by 2.
What are the factors of 83120?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1039, 2078, 4156, 5195, 8312, 10390, 16624, 20780, 41560, 83120.
What is 83120 in binary?
10100010010110000 (hexadecimal 144B0, octal 242260).
What is the square root of 83120?
About 288.3054, exactly 4√5195.
Is 83120 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 83120?
It is a composite number with 20 divisors.