The number 42714
42714 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 113. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 113, 126, 189 … 42714.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42714: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42714 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 42714 itself that is 66726, so 42714 is abundant (66726 is more than 42714). Euler's totient φ(42714) = 12096 numbers up to 42714 share no factor with it.
- 4
The digits of 42714 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42714 = 2 \times 3^{3} \times 7 \times 113 \]42714 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 12096 |
| Square | 1824485796 |
| Cube | 77931086290344 |
| Square root | 206.673656 (= 3√4746) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2714 × |
42714 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and fourteen |
| Binary (base 2) | 1010011011011010 |
| Octal (base 8) | 123332 |
| Hexadecimal (base 16) | A6DA |
| Base 3 | 2011121000 |
| As time | 42714 seconds = 11 h 51 min 54 s |
Is 42714 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42714 ÷ 2 = 21357) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42714 ÷ 3 = 14238) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42714 ÷ 6 = 7119) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42714 ÷ 7 = 6102) | 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 (42714 ÷ 9 = 4746) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 42714 a prime number?
No. 42714 = 2 × × 7 × 113, so it is divisible by 2.
What are the factors of 42714?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 113, 126, 189, 226, 339, 378, 678, 791, 1017, 1582, 2034, 2373, 3051, 4746, 6102, 7119, 14238, 21357, 42714.
What is 42714 in binary?
1010011011011010 (hexadecimal A6DA, octal 123332).
What is the square root of 42714?
About 206.6737, exactly 3√4746.
Is 42714 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42714?
42714 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.