The number 42600
42600 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 71. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 42600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42600: a Harshad number: divisible by its digit sum 12.
- 2
42600 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 42600 itself that is 91320, so 42600 is abundant (91320 is more than 42600). Euler's totient φ(42600) = 11200 numbers up to 42600 share no factor with it.
- 4
The digits of 42600 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42600 = 2^{3} \times 3 \times 5^{2} \times 71 \]42600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 11200 |
| Square | 1814760000 |
| Cube | 77308776000000 |
| Square root | 206.397674 (= 10√426) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.26 × |
42600 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred |
| Binary (base 2) | 1010011001101000 |
| Octal (base 8) | 123150 |
| Hexadecimal (base 16) | A668 |
| Base 3 | 2011102210 |
| As time | 42600 seconds = 11 h 50 min 0 s |
Is 42600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42600 ÷ 2 = 21300) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42600 ÷ 3 = 14200) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42600 ÷ 4 = 10650) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42600 ÷ 5 = 8520) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42600 ÷ 6 = 7100) | 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 | Yes (42600 ÷ 8 = 5325) | 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 | Yes (42600 ÷ 10 = 4260) | 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 | Yes (42600 ÷ 12 = 3550) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42600 a prime number?
No. 42600 = × 3 × × 71, so it is divisible by 2.
What are the factors of 42600?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 71, 75, 100, 120, 142, 150, 200, 213, 284, 300, 355, 426, 568, 600, 710, 852, 1065, 1420, 1704, 1775, 2130, 2840, 3550, 4260, 5325, 7100, 8520, 10650, 14200, 21300, 42600.
What is 42600 in binary?
1010011001101000 (hexadecimal A668, octal 123150).
What is the square root of 42600?
About 206.3977, exactly 10√426.
Is 42600 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42600?
42600 is a Harshad number: divisible by its digit sum 12.