The number 58201
58201 is a composite number with 12 divisors. Its prime factorisation is × 13 × 37. Divisors (12): 1, 11, 13, 37, 121, 143, 407, 481, 1573, 4477, 5291, 58201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58201: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58201 is composite. Its prime factorisation is
- 3
The divisors add up to 70756; without 58201 itself that is 12555, so 58201 is deficient (12555 is less than 58201). Euler's totient φ(58201) = 47520 numbers up to 58201 share no factor with it.
- 4
The digits of 58201 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58201 = 11^{2} \times 13 \times 37 \]58201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70756 |
| Euler totient φ(n) | 47520 |
| Square | 3387356401 |
| Cube | 197147529894601 |
| Square root | 241.248834 (= 11√481) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8201 × |
58201 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and one |
| Binary (base 2) | 1110001101011001 |
| Octal (base 8) | 161531 |
| Hexadecimal (base 16) | E359 |
| Base 3 | 2221211121 |
| As time | 58201 seconds = 16 h 10 min 1 s |
Is 58201 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 (58201 ÷ 11 = 5291) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58201 a prime number?
No. 58201 = × 13 × 37, so it is divisible by 11.
What are the factors of 58201?
1, 11, 13, 37, 121, 143, 407, 481, 1573, 4477, 5291, 58201.
What is 58201 in binary?
1110001101011001 (hexadecimal E359, octal 161531).
What is the square root of 58201?
About 241.2488, exactly 11√481.
Is 58201 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 58201?
58201 is a happy number: repeatedly adding the squares of its digits reaches 1.