The number 42259
42259 is a composite number with 4 divisors. Its prime factorisation is 7 × 6037. Divisors (4): 1, 7, 6037, 42259.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42259: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 6037, the product of two primes.
- 2
42259 is composite. Its prime factorisation is
- 3
The divisors add up to 48304; without 42259 itself that is 6045, so 42259 is deficient (6045 is less than 42259). Euler's totient φ(42259) = 36216 numbers up to 42259 share no factor with it.
- 4
The digits of 42259 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42259 = 7 \times 6037 \]
42259 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48304 |
| Euler totient φ(n) | 36216 |
| Square | 1785823081 |
| Cube | 75467097579979 |
| Square root | 205.569939 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.2259 × |
42259 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and fifty-nine |
| Binary (base 2) | 1010010100010011 |
| Octal (base 8) | 122423 |
| Hexadecimal (base 16) | A513 |
| Base 3 | 2010222011 |
| As time | 42259 seconds = 11 h 44 min 19 s |
Is 42259 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 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42259 ÷ 7 = 6037) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42259 a prime number?
No. 42259 = 7 × 6037, so it is divisible by 7.
What are the factors of 42259?
1, 7, 6037, 42259.
What is 42259 in binary?
1010010100010011 (hexadecimal A513, octal 122423).
What is the square root of 42259?
About 205.5699.
Is 42259 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42259?
42259 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 6037, the product of two primes.