The number 77484
77484 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 587. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 587, 1174, 1761, 2348 … 77484.
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How to work it out
- 1
77484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77484 is composite. Its prime factorisation is
- 3
The divisors add up to 197568; without 77484 itself that is 120084, so 77484 is abundant (120084 is more than 77484). Euler's totient φ(77484) = 23440 numbers up to 77484 share no factor with it.
- 4
The digits of 77484 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77484 = 2^{2} \times 3 \times 11 \times 587 \]77484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 197568 |
| Euler totient φ(n) | 23440 |
| Square | 6003770256 |
| Cube | 465196134515904 |
| Square root | 278.359480 (= 2√19371) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7484 × |
77484 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and eighty-four |
| Binary (base 2) | 10010111010101100 |
| Octal (base 8) | 227254 |
| Hexadecimal (base 16) | 12EAC |
| Base 3 | 10221021210 |
| As time | 77484 seconds = 21 h 31 min 24 s |
Is 77484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77484 ÷ 2 = 38742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77484 ÷ 3 = 25828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77484 ÷ 4 = 19371) | 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 | Yes (77484 ÷ 6 = 12914) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 | Yes (77484 ÷ 11 = 7044) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77484 ÷ 12 = 6457) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77484 a prime number?
No. 77484 = × 3 × 11 × 587, so it is divisible by 2.
What are the factors of 77484?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 587, 1174, 1761, 2348, 3522, 6457, 7044, 12914, 19371, 25828, 38742, 77484.
What is 77484 in binary?
10010111010101100 (hexadecimal 12EAC, octal 227254).
What is the square root of 77484?
About 278.3595, exactly 2√19371.
Is 77484 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77484?
It is a composite number with 24 divisors.