The number 77380
77380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 53 × 73. Divisors (24): 1, 2, 4, 5, 10, 20, 53, 73, 106, 146, 212, 265, 292, 365, 530, 730 … 77380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77380 is composite. Its prime factorisation is
- 3
The divisors add up to 167832; without 77380 itself that is 90452, so 77380 is abundant (90452 is more than 77380). Euler's totient φ(77380) = 29952 numbers up to 77380 share no factor with it.
- 4
The digits of 77380 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77380 = 2^{2} \times 5 \times 53 \times 73 \]77380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 167832 |
| Euler totient φ(n) | 29952 |
| Square | 5987664400 |
| Cube | 463325471272000 |
| Square root | 278.172608 (= 2√19345) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.738 × |
77380 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and eighty |
| Binary (base 2) | 10010111001000100 |
| Octal (base 8) | 227104 |
| Hexadecimal (base 16) | 12E44 |
| Base 3 | 10221010221 |
| As time | 77380 seconds = 21 h 29 min 40 s |
Is 77380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77380 ÷ 2 = 38690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77380 ÷ 4 = 19345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77380 ÷ 5 = 15476) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77380 ÷ 10 = 7738) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77380 a prime number?
No. 77380 = × 5 × 53 × 73, so it is divisible by 2.
What are the factors of 77380?
1, 2, 4, 5, 10, 20, 53, 73, 106, 146, 212, 265, 292, 365, 530, 730, 1060, 1460, 3869, 7738, 15476, 19345, 38690, 77380.
What is 77380 in binary?
10010111001000100 (hexadecimal 12E44, octal 227104).
What is the square root of 77380?
About 278.1726, exactly 2√19345.
Is 77380 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77380?
It is a composite number with 24 divisors.