The number 71701
71701 is a composite number with 4 divisors. Its prime factorisation is 7 × 10243. Divisors (4): 1, 7, 10243, 71701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71701: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10243, the product of two primes.
- 2
71701 is composite. Its prime factorisation is
- 3
The divisors add up to 81952; without 71701 itself that is 10251, so 71701 is deficient (10251 is less than 71701). Euler's totient φ(71701) = 61452 numbers up to 71701 share no factor with it.
- 4
The digits of 71701 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71701 = 7 \times 10243 \]
71701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 81952 |
| Euler totient φ(n) | 61452 |
| Square | 5141033401 |
| Cube | 368617235885101 |
| Square root | 267.770424 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1701 × |
71701 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and one |
| Binary (base 2) | 10001100000010101 |
| Octal (base 8) | 214025 |
| Hexadecimal (base 16) | 11815 |
| Base 3 | 10122100121 |
| As time | 71701 seconds = 19 h 55 min 1 s |
Is 71701 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71701 ÷ 7 = 10243) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71701 a prime number?
No. 71701 = 7 × 10243, so it is divisible by 7.
What are the factors of 71701?
1, 7, 10243, 71701.
What is 71701 in binary?
10001100000010101 (hexadecimal 11815, octal 214025).
What is the square root of 71701?
About 267.7704.
Is 71701 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 71701?
71701 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10243, the product of two primes.