The number 42940
42940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 113. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 113, 190, 226, 380, 452, 565 … 42940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42940: a Harshad number: divisible by its digit sum 19.
- 2
42940 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 42940 itself that is 52820, so 42940 is abundant (52820 is more than 42940). Euler's totient φ(42940) = 16128 numbers up to 42940 share no factor with it.
- 4
The digits of 42940 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42940 = 2^{2} \times 5 \times 19 \times 113 \]42940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 16128 |
| Square | 1843843600 |
| Cube | 79174644184000 |
| Square root | 207.219690 (= 2√10735) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.294 × |
42940 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and forty |
| Binary (base 2) | 1010011110111100 |
| Octal (base 8) | 123674 |
| Hexadecimal (base 16) | A7BC |
| Base 3 | 2011220101 |
| As time | 42940 seconds = 11 h 55 min 40 s |
Is 42940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42940 ÷ 2 = 21470) | 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 | Yes (42940 ÷ 4 = 10735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42940 ÷ 5 = 8588) | 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 2) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42940 ÷ 10 = 4294) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42940 a prime number?
No. 42940 = × 5 × 19 × 113, so it is divisible by 2.
What are the factors of 42940?
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 113, 190, 226, 380, 452, 565, 1130, 2147, 2260, 4294, 8588, 10735, 21470, 42940.
What is 42940 in binary?
1010011110111100 (hexadecimal A7BC, octal 123674).
What is the square root of 42940?
About 207.2197, exactly 2√10735.
Is 42940 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42940?
42940 is a Harshad number: divisible by its digit sum 19.