The number 71442
71442 is a composite number with 42 divisors. Its prime factorisation is 2 × × . Divisors (42): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98 … 71442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71442: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
71442 is composite. Its prime factorisation is
- 3
The divisors add up to 186903; without 71442 itself that is 115461, so 71442 is abundant (115461 is more than 71442). Euler's totient φ(71442) = 20412 numbers up to 71442 share no factor with it.
- 4
The digits of 71442 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71442 = 2 \times 3^{6} \times 7^{2} \]71442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 186903 |
| Euler totient φ(n) | 20412 |
| Square | 5103959364 |
| Cube | 364637064882888 |
| Square root | 267.286363 (= 189√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1442 × |
71442 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and forty-two |
| Binary (base 2) | 10001011100010010 |
| Octal (base 8) | 213422 |
| Hexadecimal (base 16) | 11712 |
| Base 3 | 10122000000 |
| As time | 71442 seconds = 19 h 50 min 42 s |
Is 71442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71442 ÷ 2 = 35721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71442 ÷ 3 = 23814) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71442 ÷ 6 = 11907) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71442 ÷ 7 = 10206) | 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 (71442 ÷ 9 = 7938) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 71442 a prime number?
No. 71442 = 2 × × , so it is divisible by 2.
What are the factors of 71442?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 243, 294, 378, 441, 486, 567, 729, 882, 1134, 1323, 1458, 1701, 2646, 3402, 3969, 5103, 7938, 10206, 11907, 23814, 35721, 71442.
What is 71442 in binary?
10001011100010010 (hexadecimal 11712, octal 213422).
What is the square root of 71442?
About 267.2864, exactly 189√2.
Is 71442 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71442?
71442 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.