The number 53997
53997 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 439. Divisors (8): 1, 3, 41, 123, 439, 1317, 17999, 53997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53997 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 53997 itself that is 19923, so 53997 is deficient (19923 is less than 53997). Euler's totient φ(53997) = 35040 numbers up to 53997 share no factor with it.
- 4
The digits of 53997 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53997 = 3 \times 41 \times 439 \]
53997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 35040 |
| Square | 2915676009 |
| Cube | 157437757457973 |
| Square root | 232.372546 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.3997 × |
53997 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and ninety-seven |
| Binary (base 2) | 1101001011101101 |
| Octal (base 8) | 151355 |
| Hexadecimal (base 16) | D2ED |
| Base 3 | 2202001220 |
| As time | 53997 seconds = 14 h 59 min 57 s |
Is 53997 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 (53997 ÷ 3 = 17999) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 9) | 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 53997 a prime number?
No. 53997 = 3 × 41 × 439, so it is divisible by 3.
What are the factors of 53997?
1, 3, 41, 123, 439, 1317, 17999, 53997.
What is 53997 in binary?
1101001011101101 (hexadecimal D2ED, octal 151355).
What is the square root of 53997?
About 232.3725.
Is 53997 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 53997?
It is a composite number with 8 divisors.