The number 63342
63342 is a composite number with 40 divisors. Its prime factorisation is 2 × × 17 × 23. Divisors (40): 1, 2, 3, 6, 9, 17, 18, 23, 27, 34, 46, 51, 54, 69, 81, 102 … 63342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 63342: a Harshad number: divisible by its digit sum 18.
- 2
63342 is composite. Its prime factorisation is
- 3
The divisors add up to 156816; without 63342 itself that is 93474, so 63342 is abundant (93474 is more than 63342). Euler's totient φ(63342) = 19008 numbers up to 63342 share no factor with it.
- 4
The digits of 63342 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63342 = 2 \times 3^{4} \times 17 \times 23 \]63342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 156816 |
| Euler totient φ(n) | 19008 |
| Square | 4012208964 |
| Cube | 254141340197688 |
| Square root | 251.678366 (= 9√782) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 6.3342 × |
63342 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand three hundred and forty-two |
| Binary (base 2) | 1111011101101110 |
| Octal (base 8) | 173556 |
| Hexadecimal (base 16) | F76E |
| Base 3 | 10012220000 |
| As time | 63342 seconds = 17 h 35 min 42 s |
Is 63342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63342 ÷ 2 = 31671) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (63342 ÷ 3 = 21114) | 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 (63342 ÷ 6 = 10557) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (63342 ÷ 9 = 7038) | 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 4) | 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 63342 a prime number?
No. 63342 = 2 × × 17 × 23, so it is divisible by 2.
What are the factors of 63342?
1, 2, 3, 6, 9, 17, 18, 23, 27, 34, 46, 51, 54, 69, 81, 102, 138, 153, 162, 207, 306, 391, 414, 459, 621, 782, 918, 1173, 1242, 1377, 1863, 2346, 2754, 3519, 3726, 7038, 10557, 21114, 31671, 63342.
What is 63342 in binary?
1111011101101110 (hexadecimal F76E, octal 173556).
What is the square root of 63342?
About 251.6784, exactly 9√782.
Is 63342 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 63342?
63342 is a Harshad number: divisible by its digit sum 18.