The number 54801
54801 is a composite number with 6 divisors. Its prime factorisation is × 6089. Divisors (6): 1, 3, 9, 6089, 18267, 54801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54801 is composite. Its prime factorisation is
- 3
The divisors add up to 79170; without 54801 itself that is 24369, so 54801 is deficient (24369 is less than 54801). Euler's totient φ(54801) = 36528 numbers up to 54801 share no factor with it.
- 4
The digits of 54801 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54801 = 3^{2} \times 6089 \]54801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 79170 |
| Euler totient φ(n) | 36528 |
| Square | 3003149601 |
| Cube | 164575601284401 |
| Square root | 234.096134 (= 3√6089) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.4801 × |
54801 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand eight hundred and one |
| Binary (base 2) | 1101011000010001 |
| Octal (base 8) | 153021 |
| Hexadecimal (base 16) | D611 |
| Base 3 | 2210011200 |
| As time | 54801 seconds = 15 h 13 min 21 s |
Is 54801 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 (54801 ÷ 3 = 18267) | 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 5) | 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 | Yes (54801 ÷ 9 = 6089) | 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 10) | 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 54801 a prime number?
No. 54801 = × 6089, so it is divisible by 3.
What are the factors of 54801?
1, 3, 9, 6089, 18267, 54801.
What is 54801 in binary?
1101011000010001 (hexadecimal D611, octal 153021).
What is the square root of 54801?
About 234.0961, exactly 3√6089.
Is 54801 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54801?
It is a composite number with 6 divisors.