The number 34482
34482 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 821. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 821, 1642, 2463, 4926, 5747, 11494, 17241, 34482.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34482: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
34482 is composite. Its prime factorisation is
- 3
The divisors add up to 78912; without 34482 itself that is 44430, so 34482 is abundant (44430 is more than 34482). Euler's totient φ(34482) = 9840 numbers up to 34482 share no factor with it.
- 4
The digits of 34482 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34482 = 2 \times 3 \times 7 \times 821 \]
34482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78912 |
| Euler totient φ(n) | 9840 |
| Square | 1189008324 |
| Cube | 40999385028168 |
| Square root | 185.693296 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.4482 × |
34482 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and eighty-two |
| Binary (base 2) | 1000011010110010 |
| Octal (base 8) | 103262 |
| Hexadecimal (base 16) | 86B2 |
| Base 3 | 1202022010 |
| As time | 34482 seconds = 9 h 34 min 42 s |
Is 34482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34482 ÷ 2 = 17241) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (34482 ÷ 3 = 11494) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (34482 ÷ 6 = 5747) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34482 ÷ 7 = 4926) | 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 2) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34482 a prime number?
No. 34482 = 2 × 3 × 7 × 821, so it is divisible by 2.
What are the factors of 34482?
1, 2, 3, 6, 7, 14, 21, 42, 821, 1642, 2463, 4926, 5747, 11494, 17241, 34482.
What is 34482 in binary?
1000011010110010 (hexadecimal 86B2, octal 103262).
What is the square root of 34482?
About 185.6933.
Is 34482 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 34482?
34482 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.