The number 59123
59123 is the 5979th prime number. Its only divisors are 1 and 59123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59123: the 5979th prime number.
- 2
59123 is prime, so its only factors are 1 and 59123. It is the 5979th prime; the next prime is 59141 and the one before is 59119.
- 3
The divisors add up to 59124; without 59123 itself that is 1, so 59123 is deficient (1 is less than 59123). Euler's totient φ(59123) = 59122 numbers up to 59123 share no factor with it.
- 4
The digits of 59123 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
59123 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59124 |
| Euler totient φ(n) | 59122 |
| Square | 3495529129 |
| Cube | 206666168693867 |
| Square root | 243.152216 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.9123 × |
59123 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and twenty-three |
| Binary (base 2) | 1110011011110011 |
| Octal (base 8) | 163363 |
| Hexadecimal (base 16) | E6F3 |
| Base 3 | 10000002202 |
| As time | 59123 seconds = 16 h 25 min 23 s |
Is 59123 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 2) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59123 a prime number?
Yes. 59123 is divisible only by 1 and itself.
What are the factors of 59123?
1, 59123.
What is 59123 in binary?
1110011011110011 (hexadecimal E6F3, octal 163363).
What is the square root of 59123?
About 243.1522.
Is 59123 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 59123?
59123 is the 5979th prime number.