The number 77481
77481 is a composite number with 6 divisors. Its prime factorisation is × 8609. Divisors (6): 1, 3, 9, 8609, 25827, 77481.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77481 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77481 is composite. Its prime factorisation is
- 3
The divisors add up to 111930; without 77481 itself that is 34449, so 77481 is deficient (34449 is less than 77481). Euler's totient φ(77481) = 51648 numbers up to 77481 share no factor with it.
- 4
The digits of 77481 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77481 = 3^{2} \times 8609 \]77481 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 111930 |
| Euler totient φ(n) | 51648 |
| Square | 6003305361 |
| Cube | 465142102675641 |
| Square root | 278.354091 (= 3√8609) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 213 |
| Scientific notation | 7.7481 × |
77481 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and eighty-one |
| Binary (base 2) | 10010111010101001 |
| Octal (base 8) | 227251 |
| Hexadecimal (base 16) | 12EA9 |
| Base 3 | 10221021200 |
| As time | 77481 seconds = 21 h 31 min 21 s |
Is 77481 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77481 ÷ 3 = 25827) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77481 ÷ 9 = 8609) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77481 a prime number?
No. 77481 = × 8609, so it is divisible by 3.
What are the factors of 77481?
1, 3, 9, 8609, 25827, 77481.
What is 77481 in binary?
10010111010101001 (hexadecimal 12EA9, octal 227251).
What is the square root of 77481?
About 278.3541, exactly 3√8609.
Is 77481 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77481?
It is a composite number with 6 divisors.