The number 77300
77300 is a composite number with 18 divisors. Its prime factorisation is × × 773. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 773, 1546, 3092, 3865, 7730, 15460, 19325 … 77300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77300 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77300 is composite. Its prime factorisation is
- 3
The divisors add up to 167958; without 77300 itself that is 90658, so 77300 is abundant (90658 is more than 77300). Euler's totient φ(77300) = 30880 numbers up to 77300 share no factor with it.
- 4
The digits of 77300 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77300 = 2^{2} \times 5^{2} \times 773 \]77300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 167958 |
| Euler totient φ(n) | 30880 |
| Square | 5975290000 |
| Cube | 461889917000000 |
| Square root | 278.028775 (= 10√773) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.73 × |
77300 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred |
| Binary (base 2) | 10010110111110100 |
| Octal (base 8) | 226764 |
| Hexadecimal (base 16) | 12DF4 |
| Base 3 | 10221000222 |
| As time | 77300 seconds = 21 h 28 min 20 s |
Is 77300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77300 ÷ 2 = 38650) | 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 | Yes (77300 ÷ 4 = 19325) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77300 ÷ 5 = 15460) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | 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 | Yes (77300 ÷ 10 = 7730) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77300 a prime number?
No. 77300 = × × 773, so it is divisible by 2.
What are the factors of 77300?
1, 2, 4, 5, 10, 20, 25, 50, 100, 773, 1546, 3092, 3865, 7730, 15460, 19325, 38650, 77300.
What is 77300 in binary?
10010110111110100 (hexadecimal 12DF4, octal 226764).
What is the square root of 77300?
About 278.0288, exactly 10√773.
Is 77300 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 77300?
It is a composite number with 18 divisors.