The number 54201
54201 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 29 × 89. Divisors (16): 1, 3, 7, 21, 29, 87, 89, 203, 267, 609, 623, 1869, 2581, 7743, 18067, 54201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54201 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 54201 itself that is 32199, so 54201 is deficient (32199 is less than 54201). Euler's totient φ(54201) = 29568 numbers up to 54201 share no factor with it.
- 4
The digits of 54201 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54201 = 3 \times 7 \times 29 \times 89 \]
54201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 29568 |
| Square | 2937748401 |
| Cube | 159228901082601 |
| Square root | 232.811082 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.4201 × |
54201 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand two hundred and one |
| Binary (base 2) | 1101001110111001 |
| Octal (base 8) | 151671 |
| Hexadecimal (base 16) | D3B9 |
| Base 3 | 2202100110 |
| As time | 54201 seconds = 15 h 3 min 21 s |
Is 54201 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 (54201 ÷ 3 = 18067) | 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 | Yes (54201 ÷ 7 = 7743) | 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 3) | 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 4) | 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 54201 a prime number?
No. 54201 = 3 × 7 × 29 × 89, so it is divisible by 3.
What are the factors of 54201?
1, 3, 7, 21, 29, 87, 89, 203, 267, 609, 623, 1869, 2581, 7743, 18067, 54201.
What is 54201 in binary?
1101001110111001 (hexadecimal D3B9, octal 151671).
What is the square root of 54201?
About 232.8111.
Is 54201 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 54201?
It is a composite number with 16 divisors.