The number 42300
42300 is a composite number with 54 divisors. Its prime factorisation is × × × 47. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45 … 42300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42300: a Harshad number: divisible by its digit sum 9.
- 2
42300 is composite. Its prime factorisation is
- 3
The divisors add up to 135408; without 42300 itself that is 93108, so 42300 is abundant (93108 is more than 42300). Euler's totient φ(42300) = 11040 numbers up to 42300 share no factor with it.
- 4
The digits of 42300 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42300 = 2^{2} \times 3^{2} \times 5^{2} \times 47 \]42300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 135408 |
| Euler totient φ(n) | 11040 |
| Square | 1789290000 |
| Cube | 75686967000000 |
| Square root | 205.669638 (= 30√47) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.23 × |
42300 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred |
| Binary (base 2) | 1010010100111100 |
| Octal (base 8) | 122474 |
| Hexadecimal (base 16) | A53C |
| Base 3 | 2011000200 |
| As time | 42300 seconds = 11 h 45 min 0 s |
Is 42300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42300 ÷ 2 = 21150) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42300 ÷ 3 = 14100) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42300 ÷ 4 = 10575) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42300 ÷ 5 = 8460) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42300 ÷ 6 = 7050) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42300 ÷ 9 = 4700) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42300 ÷ 10 = 4230) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42300 ÷ 12 = 3525) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42300 a prime number?
No. 42300 = × × × 47, so it is divisible by 2.
What are the factors of 42300?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 47, 50, 60, 75, 90, 94, 100, 141, 150, 180, 188, 225, 235, 282, 300, 423, 450, 470, 564, 705, 846, 900, 940, 1175, 1410, 1692, 2115, 2350, 2820, 3525, 4230, 4700, 7050, 8460, 10575, 14100, 21150, 42300.
What is 42300 in binary?
1010010100111100 (hexadecimal A53C, octal 122474).
What is the square root of 42300?
About 205.6696, exactly 30√47.
Is 42300 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 42300?
42300 is a Harshad number: divisible by its digit sum 9.