The number 77384
77384 is a composite number with 16 divisors. Its prime factorisation is × 17 × 569. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 569, 1138, 2276, 4552, 9673, 19346, 38692, 77384.
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How to work it out
- 1
77384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77384 is composite. Its prime factorisation is
- 3
The divisors add up to 153900; without 77384 itself that is 76516, so 77384 is deficient (76516 is less than 77384). Euler's totient φ(77384) = 36352 numbers up to 77384 share no factor with it.
- 4
The digits of 77384 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77384 = 2^{3} \times 17 \times 569 \]77384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153900 |
| Euler totient φ(n) | 36352 |
| Square | 5988283456 |
| Cube | 463397326959104 |
| Square root | 278.179798 (= 2√19346) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7384 × |
77384 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and eighty-four |
| Binary (base 2) | 10010111001001000 |
| Octal (base 8) | 227110 |
| Hexadecimal (base 16) | 12E48 |
| Base 3 | 10221011002 |
| As time | 77384 seconds = 21 h 29 min 44 s |
Is 77384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77384 ÷ 2 = 38692) | 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 (77384 ÷ 4 = 19346) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (77384 ÷ 8 = 9673) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 77384 a prime number?
No. 77384 = × 17 × 569, so it is divisible by 2.
What are the factors of 77384?
1, 2, 4, 8, 17, 34, 68, 136, 569, 1138, 2276, 4552, 9673, 19346, 38692, 77384.
What is 77384 in binary?
10010111001001000 (hexadecimal 12E48, octal 227110).
What is the square root of 77384?
About 278.1798, exactly 2√19346.
Is 77384 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77384?
It is a composite number with 16 divisors.