The number 42472
42472 is a composite number with 8 divisors. Its prime factorisation is × 5309. Divisors (8): 1, 2, 4, 8, 5309, 10618, 21236, 42472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42472 is composite. Its prime factorisation is
- 3
The divisors add up to 79650; without 42472 itself that is 37178, so 42472 is deficient (37178 is less than 42472). Euler's totient φ(42472) = 21232 numbers up to 42472 share no factor with it.
- 4
The digits of 42472 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42472 = 2^{3} \times 5309 \]42472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79650 |
| Euler totient φ(n) | 21232 |
| Square | 1803870784 |
| Cube | 76613999938048 |
| Square root | 206.087360 (= 2√10618) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2472 × |
42472 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and seventy-two |
| Binary (base 2) | 1010010111101000 |
| Octal (base 8) | 122750 |
| Hexadecimal (base 16) | A5E8 |
| Base 3 | 2011021001 |
| As time | 42472 seconds = 11 h 47 min 52 s |
Is 42472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42472 ÷ 2 = 21236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42472 ÷ 4 = 10618) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (42472 ÷ 8 = 5309) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42472 a prime number?
No. 42472 = × 5309, so it is divisible by 2.
What are the factors of 42472?
1, 2, 4, 8, 5309, 10618, 21236, 42472.
What is 42472 in binary?
1010010111101000 (hexadecimal A5E8, octal 122750).
What is the square root of 42472?
About 206.0874, exactly 2√10618.
Is 42472 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42472?
It is a composite number with 8 divisors.