The number 77388
77388 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6449. Divisors (12): 1, 2, 3, 4, 6, 12, 6449, 12898, 19347, 25796, 38694, 77388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77388 is composite. Its prime factorisation is
- 3
The divisors add up to 180600; without 77388 itself that is 103212, so 77388 is abundant (103212 is more than 77388). Euler's totient φ(77388) = 25792 numbers up to 77388 share no factor with it.
- 4
The digits of 77388 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77388 = 2^{2} \times 3 \times 6449 \]77388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 180600 |
| Euler totient φ(n) | 25792 |
| Square | 5988902544 |
| Cube | 463469190075072 |
| Square root | 278.186987 (= 2√19347) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7388 × |
77388 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and eighty-eight |
| Binary (base 2) | 10010111001001100 |
| Octal (base 8) | 227114 |
| Hexadecimal (base 16) | 12E4C |
| Base 3 | 10221011020 |
| As time | 77388 seconds = 21 h 29 min 48 s |
Is 77388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77388 ÷ 2 = 38694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77388 ÷ 3 = 25796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77388 ÷ 4 = 19347) | 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 | Yes (77388 ÷ 6 = 12898) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (77388 ÷ 12 = 6449) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77388 a prime number?
No. 77388 = × 3 × 6449, so it is divisible by 2.
What are the factors of 77388?
1, 2, 3, 4, 6, 12, 6449, 12898, 19347, 25796, 38694, 77388.
What is 77388 in binary?
10010111001001100 (hexadecimal 12E4C, octal 227114).
What is the square root of 77388?
About 278.1870, exactly 2√19347.
Is 77388 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77388?
It is a composite number with 12 divisors.