The number 42471
42471 is a composite number with 24 divisors. Its prime factorisation is × × 13. Divisors (24): 1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 121, 143, 297, 351, 363, 429 … 42471.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42471: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42471 is composite. Its prime factorisation is
- 3
The divisors add up to 74480; without 42471 itself that is 32009, so 42471 is deficient (32009 is less than 42471). Euler's totient φ(42471) = 23760 numbers up to 42471 share no factor with it.
- 4
The digits of 42471 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42471 = 3^{3} \times 11^{2} \times 13 \]42471 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74480 |
| Euler totient φ(n) | 23760 |
| Square | 1803785841 |
| Cube | 76608588453111 |
| Square root | 206.084934 (= 33√39) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2471 × |
42471 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and seventy-one |
| Binary (base 2) | 1010010111100111 |
| Octal (base 8) | 122747 |
| Hexadecimal (base 16) | A5E7 |
| Base 3 | 2011021000 |
| As time | 42471 seconds = 11 h 47 min 51 s |
Is 42471 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 (42471 ÷ 3 = 14157) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42471 ÷ 9 = 4719) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42471 ÷ 11 = 3861) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42471 a prime number?
No. 42471 = × × 13, so it is divisible by 3.
What are the factors of 42471?
1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 121, 143, 297, 351, 363, 429, 1089, 1287, 1573, 3267, 3861, 4719, 14157, 42471.
What is 42471 in binary?
1010010111100111 (hexadecimal A5E7, octal 122747).
What is the square root of 42471?
About 206.0849, exactly 33√39.
Is 42471 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42471?
42471 is a happy number: repeatedly adding the squares of its digits reaches 1.