The number 83005
83005 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 1277. Divisors (8): 1, 5, 13, 65, 1277, 6385, 16601, 83005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83005 is composite. Its prime factorisation is
- 3
The divisors add up to 107352; without 83005 itself that is 24347, so 83005 is deficient (24347 is less than 83005). Euler's totient φ(83005) = 61248 numbers up to 83005 share no factor with it.
- 4
The digits of 83005 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83005 = 5 \times 13 \times 1277 \]
83005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 107352 |
| Euler totient φ(n) | 61248 |
| Square | 6889830025 |
| Cube | 571890341225125 |
| Square root | 288.105883 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3005 × |
83005 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and five |
| Binary (base 2) | 10100010000111101 |
| Octal (base 8) | 242075 |
| Hexadecimal (base 16) | 1443D |
| Base 3 | 11012212021 |
| As time | 83005 seconds = 23 h 3 min 25 s |
Is 83005 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83005 ÷ 5 = 16601) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83005 a prime number?
No. 83005 = 5 × 13 × 1277, so it is divisible by 5.
What are the factors of 83005?
1, 5, 13, 65, 1277, 6385, 16601, 83005.
What is 83005 in binary?
10100010000111101 (hexadecimal 1443D, octal 242075).
What is the square root of 83005?
About 288.1059.
Is 83005 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 83005?
It is a composite number with 8 divisors.