The number 42598
42598 is a composite number with 12 divisors. Its prime factorisation is 2 × × 59. Divisors (12): 1, 2, 19, 38, 59, 118, 361, 722, 1121, 2242, 21299, 42598.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42598: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42598 is composite. Its prime factorisation is
- 3
The divisors add up to 68580; without 42598 itself that is 25982, so 42598 is deficient (25982 is less than 42598). Euler's totient φ(42598) = 19836 numbers up to 42598 share no factor with it.
- 4
The digits of 42598 add up to 28, 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
\[ 42598 = 2 \times 19^{2} \times 59 \]42598 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68580 |
| Euler totient φ(n) | 19836 |
| Square | 1814589604 |
| Cube | 77297887951192 |
| Square root | 206.392829 (= 19√118) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2598 × |
42598 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and ninety-eight |
| Binary (base 2) | 1010011001100110 |
| Octal (base 8) | 123146 |
| Hexadecimal (base 16) | A666 |
| Base 3 | 2011102201 |
| As time | 42598 seconds = 11 h 49 min 58 s |
Is 42598 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42598 ÷ 2 = 21299) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42598 a prime number?
No. 42598 = 2 × × 59, so it is divisible by 2.
What are the factors of 42598?
1, 2, 19, 38, 59, 118, 361, 722, 1121, 2242, 21299, 42598.
What is 42598 in binary?
1010011001100110 (hexadecimal A666, octal 123146).
What is the square root of 42598?
About 206.3928, exactly 19√118.
Is 42598 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42598?
42598 is a happy number: repeatedly adding the squares of its digits reaches 1.