The number 53991
53991 is a composite number with 12 divisors. Its prime factorisation is × 7 × 857. Divisors (12): 1, 3, 7, 9, 21, 63, 857, 2571, 5999, 7713, 17997, 53991.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53991 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53991 is composite. Its prime factorisation is
- 3
The divisors add up to 89232; without 53991 itself that is 35241, so 53991 is deficient (35241 is less than 53991). Euler's totient φ(53991) = 30816 numbers up to 53991 share no factor with it.
- 4
The digits of 53991 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53991 = 3^{2} \times 7 \times 857 \]53991 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89232 |
| Euler totient φ(n) | 30816 |
| Square | 2915028081 |
| Cube | 157385281121271 |
| Square root | 232.359635 (= 3√5999) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.3991 × |
53991 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and ninety-one |
| Binary (base 2) | 1101001011100111 |
| Octal (base 8) | 151347 |
| Hexadecimal (base 16) | D2E7 |
| Base 3 | 2202001200 |
| As time | 53991 seconds = 14 h 59 min 51 s |
Is 53991 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 (53991 ÷ 3 = 17997) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (53991 ÷ 7 = 7713) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53991 ÷ 9 = 5999) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53991 a prime number?
No. 53991 = × 7 × 857, so it is divisible by 3.
What are the factors of 53991?
1, 3, 7, 9, 21, 63, 857, 2571, 5999, 7713, 17997, 53991.
What is 53991 in binary?
1101001011100111 (hexadecimal D2E7, octal 151347).
What is the square root of 53991?
About 232.3596, exactly 3√5999.
Is 53991 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53991?
It is a composite number with 12 divisors.