The number 58213
58213 is a composite number with 4 divisors. Its prime factorisation is 23 × 2531. Divisors (4): 1, 23, 2531, 58213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58213: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 2531, the product of two primes.
- 2
58213 is composite. Its prime factorisation is
- 3
The divisors add up to 60768; without 58213 itself that is 2555, so 58213 is deficient (2555 is less than 58213). Euler's totient φ(58213) = 55660 numbers up to 58213 share no factor with it.
- 4
The digits of 58213 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58213 = 23 \times 2531 \]
58213 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 60768 |
| Euler totient φ(n) | 55660 |
| Square | 3388753369 |
| Cube | 197269499869597 |
| Square root | 241.273703 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8213 × |
58213 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and thirteen |
| Binary (base 2) | 1110001101100101 |
| Octal (base 8) | 161545 |
| Hexadecimal (base 16) | E365 |
| Base 3 | 2221212001 |
| As time | 58213 seconds = 16 h 10 min 13 s |
Is 58213 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 3) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 58213 a prime number?
No. 58213 = 23 × 2531, so it is divisible by 23.
What are the factors of 58213?
1, 23, 2531, 58213.
What is 58213 in binary?
1110001101100101 (hexadecimal E365, octal 161545).
What is the square root of 58213?
About 241.2737.
Is 58213 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 58213?
58213 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 2531, the product of two primes.