The number 42498
42498 is a composite number with 16 divisors. Its prime factorisation is 2 × × 787. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 787, 1574, 2361, 4722, 7083, 14166, 21249, 42498.
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How to work it out
- 1
What is special about 42498: a Harshad number: divisible by its digit sum 27.
- 2
42498 is composite. Its prime factorisation is
- 3
The divisors add up to 94560; without 42498 itself that is 52062, so 42498 is abundant (52062 is more than 42498). Euler's totient φ(42498) = 14148 numbers up to 42498 share no factor with it.
- 4
The digits of 42498 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42498 = 2 \times 3^{3} \times 787 \]42498 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 94560 |
| Euler totient φ(n) | 14148 |
| Square | 1806080004 |
| Cube | 76754788009992 |
| Square root | 206.150431 (= 3√4722) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2498 × |
42498 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and ninety-eight |
| Binary (base 2) | 1010011000000010 |
| Octal (base 8) | 123002 |
| Hexadecimal (base 16) | A602 |
| Base 3 | 2011022000 |
| As time | 42498 seconds = 11 h 48 min 18 s |
Is 42498 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42498 ÷ 2 = 21249) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42498 ÷ 3 = 14166) | 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 | Yes (42498 ÷ 6 = 7083) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42498 ÷ 9 = 4722) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42498 a prime number?
No. 42498 = 2 × × 787, so it is divisible by 2.
What are the factors of 42498?
1, 2, 3, 6, 9, 18, 27, 54, 787, 1574, 2361, 4722, 7083, 14166, 21249, 42498.
What is 42498 in binary?
1010011000000010 (hexadecimal A602, octal 123002).
What is the square root of 42498?
About 206.1504, exactly 3√4722.
Is 42498 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42498?
42498 is a Harshad number: divisible by its digit sum 27.