The number 42273
42273 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 61. Divisors (24): 1, 3, 7, 9, 11, 21, 33, 61, 63, 77, 99, 183, 231, 427, 549, 671 … 42273.
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How to work it out
- 1
What is special about 42273: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42273 is composite. Its prime factorisation is
- 3
The divisors add up to 77376; without 42273 itself that is 35103, so 42273 is deficient (35103 is less than 42273). Euler's totient φ(42273) = 21600 numbers up to 42273 share no factor with it.
- 4
The digits of 42273 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42273 = 3^{2} \times 7 \times 11 \times 61 \]42273 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77376 |
| Euler totient φ(n) | 21600 |
| Square | 1787006529 |
| Cube | 75542127000417 |
| Square root | 205.603988 (= 3√4697) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2273 × |
42273 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and seventy-three |
| Binary (base 2) | 1010010100100001 |
| Octal (base 8) | 122441 |
| Hexadecimal (base 16) | A521 |
| Base 3 | 2010222200 |
| As time | 42273 seconds = 11 h 44 min 33 s |
Is 42273 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42273 ÷ 3 = 14091) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42273 ÷ 7 = 6039) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42273 ÷ 9 = 4697) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42273 ÷ 11 = 3843) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42273 a prime number?
No. 42273 = × 7 × 11 × 61, so it is divisible by 3.
What are the factors of 42273?
1, 3, 7, 9, 11, 21, 33, 61, 63, 77, 99, 183, 231, 427, 549, 671, 693, 1281, 2013, 3843, 4697, 6039, 14091, 42273.
What is 42273 in binary?
1010010100100001 (hexadecimal A521, octal 122441).
What is the square root of 42273?
About 205.6040, exactly 3√4697.
Is 42273 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42273?
42273 is a happy number: repeatedly adding the squares of its digits reaches 1.