The number 83001
83001 is a composite number with 8 divisors. Its prime factorisation is 3 × 73 × 379. Divisors (8): 1, 3, 73, 219, 379, 1137, 27667, 83001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83001 is composite. Its prime factorisation is
- 3
The divisors add up to 112480; without 83001 itself that is 29479, so 83001 is deficient (29479 is less than 83001). Euler's totient φ(83001) = 54432 numbers up to 83001 share no factor with it.
- 4
The digits of 83001 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83001 = 3 \times 73 \times 379 \]
83001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 112480 |
| Euler totient φ(n) | 54432 |
| Square | 6889166001 |
| Cube | 571807667249001 |
| Square root | 288.098941 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3001 × |
83001 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and one |
| Binary (base 2) | 10100010000111001 |
| Octal (base 8) | 242071 |
| Hexadecimal (base 16) | 14439 |
| Base 3 | 11012212010 |
| As time | 83001 seconds = 23 h 3 min 21 s |
Is 83001 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 | Yes (83001 ÷ 3 = 27667) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83001 a prime number?
No. 83001 = 3 × 73 × 379, so it is divisible by 3.
What are the factors of 83001?
1, 3, 73, 219, 379, 1137, 27667, 83001.
What is 83001 in binary?
10100010000111001 (hexadecimal 14439, octal 242071).
What is the square root of 83001?
About 288.0989.
Is 83001 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 83001?
It is a composite number with 8 divisors.