The number 71739
71739 is a composite number with 8 divisors. Its prime factorisation is × 2657. Divisors (8): 1, 3, 9, 27, 2657, 7971, 23913, 71739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71739: a Harshad number: divisible by its digit sum 27.
- 2
71739 is composite. Its prime factorisation is
- 3
The divisors add up to 106320; without 71739 itself that is 34581, so 71739 is deficient (34581 is less than 71739). Euler's totient φ(71739) = 47808 numbers up to 71739 share no factor with it.
- 4
The digits of 71739 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71739 = 3^{3} \times 2657 \]71739 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 106320 |
| Euler totient φ(n) | 47808 |
| Square | 5146484121 |
| Cube | 369203624356419 |
| Square root | 267.841371 (= 3√7971) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.1739 × |
71739 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and thirty-nine |
| Binary (base 2) | 10001100000111011 |
| Octal (base 8) | 214073 |
| Hexadecimal (base 16) | 1183B |
| Base 3 | 10122102000 |
| As time | 71739 seconds = 19 h 55 min 39 s |
Is 71739 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 | Yes (71739 ÷ 3 = 23913) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (71739 ÷ 9 = 7971) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71739 a prime number?
No. 71739 = × 2657, so it is divisible by 3.
What are the factors of 71739?
1, 3, 9, 27, 2657, 7971, 23913, 71739.
What is 71739 in binary?
10001100000111011 (hexadecimal 1183B, octal 214073).
What is the square root of 71739?
About 267.8414, exactly 3√7971.
Is 71739 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 71739?
71739 is a Harshad number: divisible by its digit sum 27.