The number 42980
42980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 307. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 307, 614, 1228, 1535 … 42980.
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How to work it out
- 1
42980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42980 is composite. Its prime factorisation is
- 3
The divisors add up to 103488; without 42980 itself that is 60508, so 42980 is abundant (60508 is more than 42980). Euler's totient φ(42980) = 14688 numbers up to 42980 share no factor with it.
- 4
The digits of 42980 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42980 = 2^{2} \times 5 \times 7 \times 307 \]42980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 103488 |
| Euler totient φ(n) | 14688 |
| Square | 1847280400 |
| Cube | 79396111592000 |
| Square root | 207.316184 (= 2√10745) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.298 × |
42980 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and eighty |
| Binary (base 2) | 1010011111100100 |
| Octal (base 8) | 123744 |
| Hexadecimal (base 16) | A7E4 |
| Base 3 | 2011221212 |
| As time | 42980 seconds = 11 h 56 min 20 s |
Is 42980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42980 ÷ 2 = 21490) | 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 (42980 ÷ 4 = 10745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42980 ÷ 5 = 8596) | 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 | Yes (42980 ÷ 7 = 6140) | 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 4) | 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 (42980 ÷ 10 = 4298) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 42980 a prime number?
No. 42980 = × 5 × 7 × 307, so it is divisible by 2.
What are the factors of 42980?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 307, 614, 1228, 1535, 2149, 3070, 4298, 6140, 8596, 10745, 21490, 42980.
What is 42980 in binary?
1010011111100100 (hexadecimal A7E4, octal 123744).
What is the square root of 42980?
About 207.3162, exactly 2√10745.
Is 42980 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42980?
It is a composite number with 24 divisors.