The number 8738
8738 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 257. Divisors (8): 1, 2, 17, 34, 257, 514, 4369, 8738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8738 is composite. Its prime factorisation is
- 3
The divisors add up to 13932; without 8738 itself that is 5194, so 8738 is deficient (5194 is less than 8738). Euler's totient φ(8738) = 4096 numbers up to 8738 share no factor with it.
- 4
The digits of 8738 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8738 = 2 \times 17 \times 257 \]
8738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13932 |
| Euler totient φ(n) | 4096 |
| Square | 76352644 |
| Cube | 667169403272 |
| Square root | 93.477270 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.738 × |
8738 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and thirty-eight |
| Binary (base 2) | 10001000100010 |
| Octal (base 8) | 21042 |
| Hexadecimal (base 16) | 2222 |
| Base 3 | 102222122 |
| As time | 8738 seconds = 2 h 25 min 38 s |
Is 8738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8738 ÷ 2 = 4369) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8738 a prime number?
No. 8738 = 2 × 17 × 257, so it is divisible by 2.
What are the factors of 8738?
1, 2, 17, 34, 257, 514, 4369, 8738.
What is 8738 in binary?
10001000100010 (hexadecimal 2222, octal 21042).
What is the square root of 8738?
About 93.4773.
Is 8738 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 8738?
It is a composite number with 8 divisors.