The number 42440
42440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1061. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1061, 2122, 4244, 5305, 8488, 10610, 21220, 42440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42440 is composite. Its prime factorisation is
- 3
The divisors add up to 95580; without 42440 itself that is 53140, so 42440 is abundant (53140 is more than 42440). Euler's totient φ(42440) = 16960 numbers up to 42440 share no factor with it.
- 4
The digits of 42440 add up to 14, 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
\[ 42440 = 2^{3} \times 5 \times 1061 \]42440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95580 |
| Euler totient φ(n) | 16960 |
| Square | 1801153600 |
| Cube | 76440958784000 |
| Square root | 206.009709 (= 2√10610) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.244 × |
42440 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and forty |
| Binary (base 2) | 1010010111001000 |
| Octal (base 8) | 122710 |
| Hexadecimal (base 16) | A5C8 |
| Base 3 | 2011012212 |
| As time | 42440 seconds = 11 h 47 min 20 s |
Is 42440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42440 ÷ 2 = 21220) | 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 (42440 ÷ 4 = 10610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42440 ÷ 5 = 8488) | 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 | No (remainder 6) | 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 (42440 ÷ 8 = 5305) | 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 | Yes (42440 ÷ 10 = 4244) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 42440 a prime number?
No. 42440 = × 5 × 1061, so it is divisible by 2.
What are the factors of 42440?
1, 2, 4, 5, 8, 10, 20, 40, 1061, 2122, 4244, 5305, 8488, 10610, 21220, 42440.
What is 42440 in binary?
1010010111001000 (hexadecimal A5C8, octal 122710).
What is the square root of 42440?
About 206.0097, exactly 2√10610.
Is 42440 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42440?
It is a composite number with 16 divisors.