The number 8739
8739 is a composite number with 6 divisors. Its prime factorisation is × 971. Divisors (6): 1, 3, 9, 971, 2913, 8739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8739: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8739 is composite. Its prime factorisation is
- 3
The divisors add up to 12636; without 8739 itself that is 3897, so 8739 is deficient (3897 is less than 8739). Euler's totient φ(8739) = 5820 numbers up to 8739 share no factor with it.
- 4
The digits of 8739 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8739 = 3^{2} \times 971 \]8739 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 12636 |
| Euler totient φ(n) | 5820 |
| Square | 76370121 |
| Cube | 667398487419 |
| Square root | 93.482619 (= 3√971) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.739 × |
8739 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and thirty-nine |
| Binary (base 2) | 10001000100011 |
| Octal (base 8) | 21043 |
| Hexadecimal (base 16) | 2223 |
| Base 3 | 102222200 |
| As time | 8739 seconds = 2 h 25 min 39 s |
Is 8739 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 (8739 ÷ 3 = 2913) | 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 (8739 ÷ 9 = 971) | 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 5) | 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 8739 a prime number?
No. 8739 = × 971, so it is divisible by 3.
What are the factors of 8739?
1, 3, 9, 971, 2913, 8739.
What is 8739 in binary?
10001000100011 (hexadecimal 2223, octal 21043).
What is the square root of 8739?
About 93.4826, exactly 3√971.
Is 8739 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8739?
8739 is a happy number: repeatedly adding the squares of its digits reaches 1.