The number 77273
77273 is a composite number with 12 divisors. Its prime factorisation is × 19 × 83. Divisors (12): 1, 7, 19, 49, 83, 133, 581, 931, 1577, 4067, 11039, 77273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77273 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77273 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 77273 itself that is 18487, so 77273 is deficient (18487 is less than 77273). Euler's totient φ(77273) = 61992 numbers up to 77273 share no factor with it.
- 4
The digits of 77273 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77273 = 7^{2} \times 19 \times 83 \]77273 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 61992 |
| Square | 5971116529 |
| Cube | 461406087545417 |
| Square root | 277.980215 (= 7√1577) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7273 × |
77273 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and seventy-three |
| Binary (base 2) | 10010110111011001 |
| Octal (base 8) | 226731 |
| Hexadecimal (base 16) | 12DD9 |
| Base 3 | 10220222222 |
| As time | 77273 seconds = 21 h 27 min 53 s |
Is 77273 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 | Yes (77273 ÷ 7 = 11039) | 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 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 | No (remainder 9) | 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 77273 a prime number?
No. 77273 = × 19 × 83, so it is divisible by 7.
What are the factors of 77273?
1, 7, 19, 49, 83, 133, 581, 931, 1577, 4067, 11039, 77273.
What is 77273 in binary?
10010110111011001 (hexadecimal 12DD9, octal 226731).
What is the square root of 77273?
About 277.9802, exactly 7√1577.
Is 77273 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77273?
It is a composite number with 12 divisors.