The number 42476
42476 is a composite number with 24 divisors. Its prime factorisation is × 7 × 37 × 41. Divisors (24): 1, 2, 4, 7, 14, 28, 37, 41, 74, 82, 148, 164, 259, 287, 518, 574 … 42476.
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How to work it out
- 1
42476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42476 is composite. Its prime factorisation is
- 3
The divisors add up to 89376; without 42476 itself that is 46900, so 42476 is abundant (46900 is more than 42476). Euler's totient φ(42476) = 17280 numbers up to 42476 share no factor with it.
- 4
The digits of 42476 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42476 = 2^{2} \times 7 \times 37 \times 41 \]42476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89376 |
| Euler totient φ(n) | 17280 |
| Square | 1804210576 |
| Cube | 76635648426176 |
| Square root | 206.097065 (= 2√10619) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2476 × |
42476 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and seventy-six |
| Binary (base 2) | 1010010111101100 |
| Octal (base 8) | 122754 |
| Hexadecimal (base 16) | A5EC |
| Base 3 | 2011021012 |
| As time | 42476 seconds = 11 h 47 min 56 s |
Is 42476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42476 ÷ 2 = 21238) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42476 ÷ 4 = 10619) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42476 ÷ 7 = 6068) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42476 a prime number?
No. 42476 = × 7 × 37 × 41, so it is divisible by 2.
What are the factors of 42476?
1, 2, 4, 7, 14, 28, 37, 41, 74, 82, 148, 164, 259, 287, 518, 574, 1036, 1148, 1517, 3034, 6068, 10619, 21238, 42476.
What is 42476 in binary?
1010010111101100 (hexadecimal A5EC, octal 122754).
What is the square root of 42476?
About 206.0971, exactly 2√10619.
Is 42476 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42476?
It is a composite number with 24 divisors.