The number 32814
32814 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1823. Divisors (12): 1, 2, 3, 6, 9, 18, 1823, 3646, 5469, 10938, 16407, 32814.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32814: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
32814 is composite. Its prime factorisation is
- 3
The divisors add up to 71136; without 32814 itself that is 38322, so 32814 is abundant (38322 is more than 32814). Euler's totient φ(32814) = 10932 numbers up to 32814 share no factor with it.
- 4
The digits of 32814 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32814 = 2 \times 3^{2} \times 1823 \]32814 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71136 |
| Euler totient φ(n) | 10932 |
| Square | 1076758596 |
| Cube | 35332756569144 |
| Square root | 181.146350 (= 3√3646) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2814 × |
32814 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and fourteen |
| Binary (base 2) | 1000000000101110 |
| Octal (base 8) | 100056 |
| Hexadecimal (base 16) | 802E |
| Base 3 | 1200000100 |
| As time | 32814 seconds = 9 h 6 min 54 s |
Is 32814 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32814 ÷ 2 = 16407) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32814 ÷ 3 = 10938) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (32814 ÷ 6 = 5469) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32814 ÷ 9 = 3646) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32814 a prime number?
No. 32814 = 2 × × 1823, so it is divisible by 2.
What are the factors of 32814?
1, 2, 3, 6, 9, 18, 1823, 3646, 5469, 10938, 16407, 32814.
What is 32814 in binary?
1000000000101110 (hexadecimal 802E, octal 100056).
What is the square root of 32814?
About 181.1463, exactly 3√3646.
Is 32814 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32814?
32814 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.