The number 83601
83601 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1327. Divisors (12): 1, 3, 7, 9, 21, 63, 1327, 3981, 9289, 11943, 27867, 83601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83601 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83601 is composite. Its prime factorisation is
- 3
The divisors add up to 138112; without 83601 itself that is 54511, so 83601 is deficient (54511 is less than 83601). Euler's totient φ(83601) = 47736 numbers up to 83601 share no factor with it.
- 4
The digits of 83601 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83601 = 3^{2} \times 7 \times 1327 \]83601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 138112 |
| Euler totient φ(n) | 47736 |
| Square | 6989127201 |
| Cube | 584298023130801 |
| Square root | 289.138375 (= 3√9289) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3601 × |
83601 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand six hundred and one |
| Binary (base 2) | 10100011010010001 |
| Octal (base 8) | 243221 |
| Hexadecimal (base 16) | 14691 |
| Base 3 | 11020200100 |
| As time | 83601 seconds = 23 h 13 min 21 s |
Is 83601 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 (83601 ÷ 3 = 27867) | 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 | Yes (83601 ÷ 7 = 11943) | 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 | Yes (83601 ÷ 9 = 9289) | 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 1) | 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 83601 a prime number?
No. 83601 = × 7 × 1327, so it is divisible by 3.
What are the factors of 83601?
1, 3, 7, 9, 21, 63, 1327, 3981, 9289, 11943, 27867, 83601.
What is 83601 in binary?
10100011010010001 (hexadecimal 14691, octal 243221).
What is the square root of 83601?
About 289.1384, exactly 3√9289.
Is 83601 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 83601?
It is a composite number with 12 divisors.