The number 58123
58123 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 263. Divisors (8): 1, 13, 17, 221, 263, 3419, 4471, 58123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58123: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58123 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 58123 itself that is 8405, so 58123 is deficient (8405 is less than 58123). Euler's totient φ(58123) = 50304 numbers up to 58123 share no factor with it.
- 4
The digits of 58123 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58123 = 13 \times 17 \times 263 \]
58123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 50304 |
| Square | 3378283129 |
| Cube | 196355950306867 |
| Square root | 241.087121 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8123 × |
58123 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and twenty-three |
| Binary (base 2) | 1110001100001011 |
| Octal (base 8) | 161413 |
| Hexadecimal (base 16) | E30B |
| Base 3 | 2221201201 |
| As time | 58123 seconds = 16 h 8 min 43 s |
Is 58123 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 3) | 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 2) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58123 a prime number?
No. 58123 = 13 × 17 × 263, so it is divisible by 13.
What are the factors of 58123?
1, 13, 17, 221, 263, 3419, 4471, 58123.
What is 58123 in binary?
1110001100001011 (hexadecimal E30B, octal 161413).
What is the square root of 58123?
About 241.0871.
Is 58123 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 58123?
58123 is a happy number: repeatedly adding the squares of its digits reaches 1.