The number 77033
77033 is a composite number with 8 divisors. Its prime factorisation is 11 × 47 × 149. Divisors (8): 1, 11, 47, 149, 517, 1639, 7003, 77033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77033 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77033 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 77033 itself that is 9367, so 77033 is deficient (9367 is less than 77033). Euler's totient φ(77033) = 68080 numbers up to 77033 share no factor with it.
- 4
The digits of 77033 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77033 = 11 \times 47 \times 149 \]
77033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 68080 |
| Square | 5934083089 |
| Cube | 457120222594937 |
| Square root | 277.548194 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7033 × |
77033 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and thirty-three |
| Binary (base 2) | 10010110011101001 |
| Octal (base 8) | 226351 |
| Hexadecimal (base 16) | 12CE9 |
| Base 3 | 10220200002 |
| As time | 77033 seconds = 21 h 23 min 53 s |
Is 77033 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77033 ÷ 11 = 7003) | 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 77033 a prime number?
No. 77033 = 11 × 47 × 149, so it is divisible by 11.
What are the factors of 77033?
1, 11, 47, 149, 517, 1639, 7003, 77033.
What is 77033 in binary?
10010110011101001 (hexadecimal 12CE9, octal 226351).
What is the square root of 77033?
About 277.5482.
Is 77033 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77033?
It is a composite number with 8 divisors.