The number 71435
71435 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 13 × 157. Divisors (16): 1, 5, 7, 13, 35, 65, 91, 157, 455, 785, 1099, 2041, 5495, 10205, 14287, 71435.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71435: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71435 is composite. Its prime factorisation is
- 3
The divisors add up to 106176; without 71435 itself that is 34741, so 71435 is deficient (34741 is less than 71435). Euler's totient φ(71435) = 44928 numbers up to 71435 share no factor with it.
- 4
The digits of 71435 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71435 = 5 \times 7 \times 13 \times 157 \]
71435 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106176 |
| Euler totient φ(n) | 44928 |
| Square | 5102959225 |
| Cube | 364529892237875 |
| Square root | 267.273268 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1435 × |
71435 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and thirty-five |
| Binary (base 2) | 10001011100001011 |
| Octal (base 8) | 213413 |
| Hexadecimal (base 16) | 1170B |
| Base 3 | 10121222202 |
| As time | 71435 seconds = 19 h 50 min 35 s |
Is 71435 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71435 ÷ 5 = 14287) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71435 ÷ 7 = 10205) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71435 a prime number?
No. 71435 = 5 × 7 × 13 × 157, so it is divisible by 5.
What are the factors of 71435?
1, 5, 7, 13, 35, 65, 91, 157, 455, 785, 1099, 2041, 5495, 10205, 14287, 71435.
What is 71435 in binary?
10001011100001011 (hexadecimal 1170B, octal 213413).
What is the square root of 71435?
About 267.2733.
Is 71435 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 71435?
71435 is a happy number: repeatedly adding the squares of its digits reaches 1.