The number 81468
81468 is a composite number with 36 divisors. Its prime factorisation is × × 31 × 73. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 73, 93, 124, 146, 186 … 81468.
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How to work it out
- 1
81468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
81468 is composite. Its prime factorisation is
- 3
The divisors add up to 215488; without 81468 itself that is 134020, so 81468 is abundant (134020 is more than 81468). Euler's totient φ(81468) = 25920 numbers up to 81468 share no factor with it.
- 4
The digits of 81468 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 81468 = 2^{2} \times 3^{2} \times 31 \times 73 \]81468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 215488 |
| Euler totient φ(n) | 25920 |
| Square | 6637035024 |
| Cube | 540705969335232 |
| Square root | 285.425997 (= 6√2263) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.1468 × |
81468 in other forms
| Form | Value |
|---|---|
| In words | eighty-one thousand four hundred and sixty-eight |
| Binary (base 2) | 10011111000111100 |
| Octal (base 8) | 237074 |
| Hexadecimal (base 16) | 13E3C |
| Base 3 | 11010202100 |
| As time | 81468 seconds = 22 h 37 min 48 s |
Is 81468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (81468 ÷ 2 = 40734) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (81468 ÷ 3 = 27156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (81468 ÷ 4 = 20367) | 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 (81468 ÷ 6 = 13578) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (81468 ÷ 9 = 9052) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (81468 ÷ 12 = 6789) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 81468 a prime number?
No. 81468 = × × 31 × 73, so it is divisible by 2.
What are the factors of 81468?
1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 73, 93, 124, 146, 186, 219, 279, 292, 372, 438, 558, 657, 876, 1116, 1314, 2263, 2628, 4526, 6789, 9052, 13578, 20367, 27156, 40734, 81468.
What is 81468 in binary?
10011111000111100 (hexadecimal 13E3C, octal 237074).
What is the square root of 81468?
About 285.4260, exactly 6√2263.
Is 81468 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 81468?
It is a composite number with 36 divisors.