The number 42990
42990 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1433. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1433, 2866, 4299, 7165, 8598, 14330, 21495, 42990.
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How to work it out
- 1
42990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42990 is composite. Its prime factorisation is
- 3
The divisors add up to 103248; without 42990 itself that is 60258, so 42990 is abundant (60258 is more than 42990). Euler's totient φ(42990) = 11456 numbers up to 42990 share no factor with it.
- 4
The digits of 42990 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42990 = 2 \times 3 \times 5 \times 1433 \]
42990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103248 |
| Euler totient φ(n) | 11456 |
| Square | 1848140100 |
| Cube | 79451542899000 |
| Square root | 207.340300 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.299 × |
42990 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and ninety |
| Binary (base 2) | 1010011111101110 |
| Octal (base 8) | 123756 |
| Hexadecimal (base 16) | A7EE |
| Base 3 | 2011222020 |
| As time | 42990 seconds = 11 h 56 min 30 s |
Is 42990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42990 ÷ 2 = 21495) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42990 ÷ 3 = 14330) | 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 | Yes (42990 ÷ 5 = 8598) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42990 ÷ 6 = 7165) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42990 ÷ 10 = 4299) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42990 a prime number?
No. 42990 = 2 × 3 × 5 × 1433, so it is divisible by 2.
What are the factors of 42990?
1, 2, 3, 5, 6, 10, 15, 30, 1433, 2866, 4299, 7165, 8598, 14330, 21495, 42990.
What is 42990 in binary?
1010011111101110 (hexadecimal A7EE, octal 123756).
What is the square root of 42990?
About 207.3403.
Is 42990 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42990?
It is a composite number with 16 divisors.