The number 53801
53801 is a composite number with 8 divisors. Its prime factorisation is 11 × 67 × 73. Divisors (8): 1, 11, 67, 73, 737, 803, 4891, 53801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53801 is composite. Its prime factorisation is
- 3
The divisors add up to 60384; without 53801 itself that is 6583, so 53801 is deficient (6583 is less than 53801). Euler's totient φ(53801) = 47520 numbers up to 53801 share no factor with it.
- 4
The digits of 53801 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53801 = 11 \times 67 \times 73 \]
53801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60384 |
| Euler totient φ(n) | 47520 |
| Square | 2894547601 |
| Cube | 155729555481401 |
| Square root | 231.950426 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.3801 × |
53801 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and one |
| Binary (base 2) | 1101001000101001 |
| Octal (base 8) | 151051 |
| Hexadecimal (base 16) | D229 |
| Base 3 | 2201210122 |
| As time | 53801 seconds = 14 h 56 min 41 s |
Is 53801 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 | No (remainder 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (53801 ÷ 11 = 4891) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53801 a prime number?
No. 53801 = 11 × 67 × 73, so it is divisible by 11.
What are the factors of 53801?
1, 11, 67, 73, 737, 803, 4891, 53801.
What is 53801 in binary?
1101001000101001 (hexadecimal D229, octal 151051).
What is the square root of 53801?
About 231.9504.
Is 53801 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 53801?
It is a composite number with 8 divisors.