The number 67773
67773 is a composite number with 16 divisors. Its prime factorisation is 3 × 19 × 29 × 41. Divisors (16): 1, 3, 19, 29, 41, 57, 87, 123, 551, 779, 1189, 1653, 2337, 3567, 22591, 67773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67773: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67773 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 67773 itself that is 33027, so 67773 is deficient (33027 is less than 67773). Euler's totient φ(67773) = 40320 numbers up to 67773 share no factor with it.
- 4
The digits of 67773 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67773 = 3 \times 19 \times 29 \times 41 \]
67773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 40320 |
| Square | 4593179529 |
| Cube | 311293556218917 |
| Square root | 260.332480 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7773 × |
67773 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and seventy-three |
| Binary (base 2) | 10000100010111101 |
| Octal (base 8) | 204275 |
| Hexadecimal (base 16) | 108BD |
| Base 3 | 10102222010 |
| As time | 67773 seconds = 18 h 49 min 33 s |
Is 67773 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 (67773 ÷ 3 = 22591) | 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 | 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 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 2) | 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 67773 a prime number?
No. 67773 = 3 × 19 × 29 × 41, so it is divisible by 3.
What are the factors of 67773?
1, 3, 19, 29, 41, 57, 87, 123, 551, 779, 1189, 1653, 2337, 3567, 22591, 67773.
What is 67773 in binary?
10000100010111101 (hexadecimal 108BD, octal 204275).
What is the square root of 67773?
About 260.3325.
Is 67773 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 67773?
67773 is a happy number: repeatedly adding the squares of its digits reaches 1.