The number 59351
59351 is the 5998th prime number. Its only divisors are 1 and 59351.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59351: the 5998th prime number.
- 2
59351 is prime, so its only factors are 1 and 59351. It is the 5998th prime; the next prime is 59357 and the one before is 59341.
- 3
The divisors add up to 59352; without 59351 itself that is 1, so 59351 is deficient (1 is less than 59351). Euler's totient φ(59351) = 59350 numbers up to 59351 share no factor with it.
- 4
The digits of 59351 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
59351 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59352 |
| Euler totient φ(n) | 59350 |
| Square | 3522541201 |
| Cube | 209066342820551 |
| Square root | 243.620607 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9351 × |
59351 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and fifty-one |
| Binary (base 2) | 1110011111010111 |
| Octal (base 8) | 163727 |
| Hexadecimal (base 16) | E7D7 |
| Base 3 | 10000102012 |
| As time | 59351 seconds = 16 h 29 min 11 s |
Is 59351 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 1) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 59351 a prime number?
Yes. 59351 is divisible only by 1 and itself.
What are the factors of 59351?
1, 59351.
What is 59351 in binary?
1110011111010111 (hexadecimal E7D7, octal 163727).
What is the square root of 59351?
About 243.6206.
Is 59351 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 59351?
59351 is the 5998th prime number.