The number 59473
59473 is a twin prime (59471 and 59473 are both prime) and the 6015th prime number. Its only divisors are 1 and 59473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59473: a twin prime (59471 and 59473 are both prime); the 6015th prime number.
- 2
59473 is prime, so its only factors are 1 and 59473. It is the 6015th prime; the next prime is 59497 and the one before is 59471.
- 3
The divisors add up to 59474; without 59473 itself that is 1, so 59473 is deficient (1 is less than 59473). Euler's totient φ(59473) = 59472 numbers up to 59473 share no factor with it.
- 4
The digits of 59473 add up to 28, 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.
59473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59474 |
| Euler totient φ(n) | 59472 |
| Square | 3537037729 |
| Cube | 210358244856817 |
| Square root | 243.870867 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9473 × |
59473 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and seventy-three |
| Binary (base 2) | 1110100001010001 |
| Octal (base 8) | 164121 |
| Hexadecimal (base 16) | E851 |
| Base 3 | 10000120201 |
| As time | 59473 seconds = 16 h 31 min 13 s |
Is 59473 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 1) | 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 7) | 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 59473 a prime number?
Yes. 59473 is divisible only by 1 and itself.
What are the factors of 59473?
1, 59473.
What is 59473 in binary?
1110100001010001 (hexadecimal E851, octal 164121).
What is the square root of 59473?
About 243.8709.
Is 59473 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59473?
59473 is a twin prime (59471 and 59473 are both prime); the 6015th prime number.