The number 71309
71309 is a composite number with 8 divisors. Its prime factorisation is 7 × 61 × 167. Divisors (8): 1, 7, 61, 167, 427, 1169, 10187, 71309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71309 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71309 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 71309 itself that is 12019, so 71309 is deficient (12019 is less than 71309). Euler's totient φ(71309) = 59760 numbers up to 71309 share no factor with it.
- 4
The digits of 71309 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
\[ 71309 = 7 \times 61 \times 167 \]
71309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 59760 |
| Square | 5084973481 |
| Cube | 362604373956629 |
| Square root | 267.037451 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1309 × |
71309 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and nine |
| Binary (base 2) | 10001011010001101 |
| Octal (base 8) | 213215 |
| Hexadecimal (base 16) | 1168D |
| Base 3 | 10121211002 |
| As time | 71309 seconds = 19 h 48 min 29 s |
Is 71309 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 1) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71309 ÷ 7 = 10187) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71309 a prime number?
No. 71309 = 7 × 61 × 167, so it is divisible by 7.
What are the factors of 71309?
1, 7, 61, 167, 427, 1169, 10187, 71309.
What is 71309 in binary?
10001011010001101 (hexadecimal 1168D, octal 213215).
What is the square root of 71309?
About 267.0375.
Is 71309 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 71309?
It is a composite number with 8 divisors.