The number 53181
53181 is a composite number with 12 divisors. Its prime factorisation is × 19 × 311. Divisors (12): 1, 3, 9, 19, 57, 171, 311, 933, 2799, 5909, 17727, 53181.
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How to work it out
- 1
What is special about 53181: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53181 is composite. Its prime factorisation is
- 3
The divisors add up to 81120; without 53181 itself that is 27939, so 53181 is deficient (27939 is less than 53181). Euler's totient φ(53181) = 33480 numbers up to 53181 share no factor with it.
- 4
The digits of 53181 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53181 = 3^{2} \times 19 \times 311 \]53181 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81120 |
| Euler totient φ(n) | 33480 |
| Square | 2828218761 |
| Cube | 150407501928741 |
| Square root | 230.610060 (= 3√5909) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3181 × |
53181 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and eighty-one |
| Binary (base 2) | 1100111110111101 |
| Octal (base 8) | 147675 |
| Hexadecimal (base 16) | CFBD |
| Base 3 | 2200221200 |
| As time | 53181 seconds = 14 h 46 min 21 s |
Is 53181 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 (53181 ÷ 3 = 17727) | 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 1) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53181 ÷ 9 = 5909) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 53181 a prime number?
No. 53181 = × 19 × 311, so it is divisible by 3.
What are the factors of 53181?
1, 3, 9, 19, 57, 171, 311, 933, 2799, 5909, 17727, 53181.
What is 53181 in binary?
1100111110111101 (hexadecimal CFBD, octal 147675).
What is the square root of 53181?
About 230.6101, exactly 3√5909.
Is 53181 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53181?
53181 is a happy number: repeatedly adding the squares of its digits reaches 1.