The number 80333
80333 is a composite number with 8 divisors. Its prime factorisation is 11 × 67 × 109. Divisors (8): 1, 11, 67, 109, 737, 1199, 7303, 80333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80333: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80333 is composite. Its prime factorisation is
- 3
The divisors add up to 89760; without 80333 itself that is 9427, so 80333 is deficient (9427 is less than 80333). Euler's totient φ(80333) = 71280 numbers up to 80333 share no factor with it.
- 4
The digits of 80333 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80333 = 11 \times 67 \times 109 \]
80333 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 89760 |
| Euler totient φ(n) | 71280 |
| Square | 6453390889 |
| Cube | 518420250286037 |
| Square root | 283.430768 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0333 × |
80333 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and thirty-three |
| Binary (base 2) | 10011100111001101 |
| Octal (base 8) | 234715 |
| Hexadecimal (base 16) | 139CD |
| Base 3 | 11002012022 |
| As time | 80333 seconds = 22 h 18 min 53 s |
Is 80333 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 3) | 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80333 ÷ 11 = 7303) | 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 80333 a prime number?
No. 80333 = 11 × 67 × 109, so it is divisible by 11.
What are the factors of 80333?
1, 11, 67, 109, 737, 1199, 7303, 80333.
What is 80333 in binary?
10011100111001101 (hexadecimal 139CD, octal 234715).
What is the square root of 80333?
About 283.4308.
Is 80333 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80333?
80333 is a happy number: repeatedly adding the squares of its digits reaches 1.