The number 42150
42150 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 281. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 281, 562, 843, 1405 … 42150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42150 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42150 is composite. Its prime factorisation is
- 3
The divisors add up to 104904; without 42150 itself that is 62754, so 42150 is abundant (62754 is more than 42150). Euler's totient φ(42150) = 11200 numbers up to 42150 share no factor with it.
- 4
The digits of 42150 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42150 = 2 \times 3 \times 5^{2} \times 281 \]42150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104904 |
| Euler totient φ(n) | 11200 |
| Square | 1776622500 |
| Cube | 74884638375000 |
| Square root | 205.304652 (= 5√1686) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.215 × |
42150 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and fifty |
| Binary (base 2) | 1010010010100110 |
| Octal (base 8) | 122246 |
| Hexadecimal (base 16) | A4A6 |
| Base 3 | 2010211010 |
| As time | 42150 seconds = 11 h 42 min 30 s |
Is 42150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42150 ÷ 2 = 21075) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42150 ÷ 3 = 14050) | 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 | Yes (42150 ÷ 5 = 8430) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42150 ÷ 6 = 7025) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42150 ÷ 10 = 4215) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 42150 a prime number?
No. 42150 = 2 × 3 × × 281, so it is divisible by 2.
What are the factors of 42150?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 281, 562, 843, 1405, 1686, 2810, 4215, 7025, 8430, 14050, 21075, 42150.
What is 42150 in binary?
1010010010100110 (hexadecimal A4A6, octal 122246).
What is the square root of 42150?
About 205.3047, exactly 5√1686.
Is 42150 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42150?
It is a composite number with 24 divisors.