The number 77320
77320 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1933. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1933, 3866, 7732, 9665, 15464, 19330, 38660, 77320.
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How to work it out
- 1
77320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77320 is composite. Its prime factorisation is
- 3
The divisors add up to 174060; without 77320 itself that is 96740, so 77320 is abundant (96740 is more than 77320). Euler's totient φ(77320) = 30912 numbers up to 77320 share no factor with it.
- 4
The digits of 77320 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77320 = 2^{3} \times 5 \times 1933 \]77320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 174060 |
| Euler totient φ(n) | 30912 |
| Square | 5978382400 |
| Cube | 462248527168000 |
| Square root | 278.064741 (= 2√19330) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.732 × |
77320 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and twenty |
| Binary (base 2) | 10010111000001000 |
| Octal (base 8) | 227010 |
| Hexadecimal (base 16) | 12E08 |
| Base 3 | 10221001201 |
| As time | 77320 seconds = 21 h 28 min 40 s |
Is 77320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77320 ÷ 2 = 38660) | 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 (77320 ÷ 4 = 19330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77320 ÷ 5 = 15464) | 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 5) | 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 | Yes (77320 ÷ 8 = 9665) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77320 ÷ 10 = 7732) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77320 a prime number?
No. 77320 = × 5 × 1933, so it is divisible by 2.
What are the factors of 77320?
1, 2, 4, 5, 8, 10, 20, 40, 1933, 3866, 7732, 9665, 15464, 19330, 38660, 77320.
What is 77320 in binary?
10010111000001000 (hexadecimal 12E08, octal 227010).
What is the square root of 77320?
About 278.0647, exactly 2√19330.
Is 77320 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 77320?
It is a composite number with 16 divisors.