The number 53757
53757 is a composite number with 16 divisors. Its prime factorisation is × 11 × 181. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 181, 297, 543, 1629, 1991, 4887, 5973, 17919, 53757.
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How to work it out
- 1
What is special about 53757: a Harshad number: divisible by its digit sum 27.
- 2
53757 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 53757 itself that is 33603, so 53757 is deficient (33603 is less than 53757). Euler's totient φ(53757) = 32400 numbers up to 53757 share no factor with it.
- 4
The digits of 53757 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 246 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53757 = 3^{3} \times 11 \times 181 \]53757 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 32400 |
| Square | 2889815049 |
| Cube | 155347787589093 |
| Square root | 231.855558 (= 3√5973) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 246 |
| Scientific notation | 5.3757 × |
53757 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and fifty-seven |
| Binary (base 2) | 1101000111111101 |
| Octal (base 8) | 150775 |
| Hexadecimal (base 16) | D1FD |
| Base 3 | 2201202000 |
| As time | 53757 seconds = 14 h 55 min 57 s |
Is 53757 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 (53757 ÷ 3 = 17919) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53757 ÷ 9 = 5973) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53757 ÷ 11 = 4887) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53757 a prime number?
No. 53757 = × 11 × 181, so it is divisible by 3.
What are the factors of 53757?
1, 3, 9, 11, 27, 33, 99, 181, 297, 543, 1629, 1991, 4887, 5973, 17919, 53757.
What is 53757 in binary?
1101000111111101 (hexadecimal D1FD, octal 150775).
What is the square root of 53757?
About 231.8556, exactly 3√5973.
Is 53757 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53757?
53757 is a Harshad number: divisible by its digit sum 27.