The number 53746
53746 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 349. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 349, 698, 2443, 3839, 4886, 7678, 26873, 53746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53746 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 53746 itself that is 47054, so 53746 is deficient (47054 is less than 53746). Euler's totient φ(53746) = 20880 numbers up to 53746 share no factor with it.
- 4
The digits of 53746 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53746 = 2 \times 7 \times 11 \times 349 \]
53746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 20880 |
| Square | 2888632516 |
| Cube | 155252443204936 |
| Square root | 231.831836 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3746 × |
53746 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and forty-six |
| Binary (base 2) | 1101000111110010 |
| Octal (base 8) | 150762 |
| Hexadecimal (base 16) | D1F2 |
| Base 3 | 2201201121 |
| As time | 53746 seconds = 14 h 55 min 46 s |
Is 53746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53746 ÷ 2 = 26873) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53746 ÷ 7 = 7678) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53746 ÷ 11 = 4886) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53746 a prime number?
No. 53746 = 2 × 7 × 11 × 349, so it is divisible by 2.
What are the factors of 53746?
1, 2, 7, 11, 14, 22, 77, 154, 349, 698, 2443, 3839, 4886, 7678, 26873, 53746.
What is 53746 in binary?
1101000111110010 (hexadecimal D1F2, octal 150762).
What is the square root of 53746?
About 231.8318.
Is 53746 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53746?
It is a composite number with 16 divisors.