The number 53738
53738 is a composite number with 8 divisors. Its prime factorisation is 2 × 97 × 277. Divisors (8): 1, 2, 97, 194, 277, 554, 26869, 53738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53738 is composite. Its prime factorisation is
- 3
The divisors add up to 81732; without 53738 itself that is 27994, so 53738 is deficient (27994 is less than 53738). Euler's totient φ(53738) = 26496 numbers up to 53738 share no factor with it.
- 4
The digits of 53738 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53738 = 2 \times 97 \times 277 \]
53738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81732 |
| Euler totient φ(n) | 26496 |
| Square | 2887772644 |
| Cube | 155183126343272 |
| Square root | 231.814581 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3738 × |
53738 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and thirty-eight |
| Binary (base 2) | 1101000111101010 |
| Octal (base 8) | 150752 |
| Hexadecimal (base 16) | D1EA |
| Base 3 | 2201201022 |
| As time | 53738 seconds = 14 h 55 min 38 s |
Is 53738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53738 ÷ 2 = 26869) | 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 6) | 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 3) | 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 53738 a prime number?
No. 53738 = 2 × 97 × 277, so it is divisible by 2.
What are the factors of 53738?
1, 2, 97, 194, 277, 554, 26869, 53738.
What is 53738 in binary?
1101000111101010 (hexadecimal D1EA, octal 150752).
What is the square root of 53738?
About 231.8146.
Is 53738 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 53738?
It is a composite number with 8 divisors.