The number 83369
83369 is a composite number with 12 divisors. Its prime factorisation is × 13 × 53. Divisors (12): 1, 11, 13, 53, 121, 143, 583, 689, 1573, 6413, 7579, 83369.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83369 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83369 is composite. Its prime factorisation is
- 3
The divisors add up to 100548; without 83369 itself that is 17179, so 83369 is deficient (17179 is less than 83369). Euler's totient φ(83369) = 68640 numbers up to 83369 share no factor with it.
- 4
The digits of 83369 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83369 = 11^{2} \times 13 \times 53 \]83369 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100548 |
| Euler totient φ(n) | 68640 |
| Square | 6950390161 |
| Cube | 579447077332409 |
| Square root | 288.736904 (= 11√689) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3369 × |
83369 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and sixty-nine |
| Binary (base 2) | 10100010110101001 |
| Octal (base 8) | 242651 |
| Hexadecimal (base 16) | 145A9 |
| Base 3 | 11020100202 |
| As time | 83369 seconds = 23 h 9 min 29 s |
Is 83369 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 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (83369 ÷ 11 = 7579) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83369 a prime number?
No. 83369 = × 13 × 53, so it is divisible by 11.
What are the factors of 83369?
1, 11, 13, 53, 121, 143, 583, 689, 1573, 6413, 7579, 83369.
What is 83369 in binary?
10100010110101001 (hexadecimal 145A9, octal 242651).
What is the square root of 83369?
About 288.7369, exactly 11√689.
Is 83369 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 83369?
It is a composite number with 12 divisors.