The number 81412
81412 is a composite number with 6 divisors. Its prime factorisation is × 20353. Divisors (6): 1, 2, 4, 20353, 40706, 81412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 81412: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
81412 is composite. Its prime factorisation is
- 3
The divisors add up to 142478; without 81412 itself that is 61066, so 81412 is deficient (61066 is less than 81412). Euler's totient φ(81412) = 40704 numbers up to 81412 share no factor with it.
- 4
The digits of 81412 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 81412 = 2^{2} \times 20353 \]81412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 142478 |
| Euler totient φ(n) | 40704 |
| Square | 6627913744 |
| Cube | 539591713726528 |
| Square root | 285.327882 (= 2√20353) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.1412 × |
81412 in other forms
| Form | Value |
|---|---|
| In words | eighty-one thousand four hundred and twelve |
| Binary (base 2) | 10011111000000100 |
| Octal (base 8) | 237004 |
| Hexadecimal (base 16) | 13E04 |
| Base 3 | 11010200021 |
| As time | 81412 seconds = 22 h 36 min 52 s |
Is 81412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (81412 ÷ 2 = 40706) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (81412 ÷ 4 = 20353) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 81412 a prime number?
No. 81412 = × 20353, so it is divisible by 2.
What are the factors of 81412?
1, 2, 4, 20353, 40706, 81412.
What is 81412 in binary?
10011111000000100 (hexadecimal 13E04, octal 237004).
What is the square root of 81412?
About 285.3279, exactly 2√20353.
Is 81412 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 81412?
81412 is a happy number: repeatedly adding the squares of its digits reaches 1.