The number 77133
77133 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3673. Divisors (8): 1, 3, 7, 21, 3673, 11019, 25711, 77133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77133: a Harshad number: divisible by its digit sum 21.
- 2
77133 is composite. Its prime factorisation is
- 3
The divisors add up to 117568; without 77133 itself that is 40435, so 77133 is deficient (40435 is less than 77133). Euler's totient φ(77133) = 44064 numbers up to 77133 share no factor with it.
- 4
The digits of 77133 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77133 = 3 \times 7 \times 3673 \]
77133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 117568 |
| Euler totient φ(n) | 44064 |
| Square | 5949499689 |
| Cube | 458902759511637 |
| Square root | 277.728284 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7133 × |
77133 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and thirty-three |
| Binary (base 2) | 10010110101001101 |
| Octal (base 8) | 226515 |
| Hexadecimal (base 16) | 12D4D |
| Base 3 | 10220210210 |
| As time | 77133 seconds = 21 h 25 min 33 s |
Is 77133 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 (77133 ÷ 3 = 25711) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77133 ÷ 7 = 11019) | 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 3) | 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 | 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 77133 a prime number?
No. 77133 = 3 × 7 × 3673, so it is divisible by 3.
What are the factors of 77133?
1, 3, 7, 21, 3673, 11019, 25711, 77133.
What is 77133 in binary?
10010110101001101 (hexadecimal 12D4D, octal 226515).
What is the square root of 77133?
About 277.7283.
Is 77133 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77133?
77133 is a Harshad number: divisible by its digit sum 21.