The number 58101
58101 is a composite number with 8 divisors. Its prime factorisation is 3 × 107 × 181. Divisors (8): 1, 3, 107, 181, 321, 543, 19367, 58101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58101: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58101 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 58101 itself that is 20523, so 58101 is deficient (20523 is less than 58101). Euler's totient φ(58101) = 38160 numbers up to 58101 share no factor with it.
- 4
The digits of 58101 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58101 = 3 \times 107 \times 181 \]
58101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 38160 |
| Square | 3375726201 |
| Cube | 196133068004301 |
| Square root | 241.041490 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8101 × |
58101 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and one |
| Binary (base 2) | 1110001011110101 |
| Octal (base 8) | 161365 |
| Hexadecimal (base 16) | E2F5 |
| Base 3 | 2221200220 |
| As time | 58101 seconds = 16 h 8 min 21 s |
Is 58101 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 (58101 ÷ 3 = 19367) | 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 1) | 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 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 58101 a prime number?
No. 58101 = 3 × 107 × 181, so it is divisible by 3.
What are the factors of 58101?
1, 3, 107, 181, 321, 543, 19367, 58101.
What is 58101 in binary?
1110001011110101 (hexadecimal E2F5, octal 161365).
What is the square root of 58101?
About 241.0415.
Is 58101 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 58101?
58101 is a happy number: repeatedly adding the squares of its digits reaches 1.