The number 59149
59149 is the 5981st prime number. Its only divisors are 1 and 59149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59149: the 5981st prime number.
- 2
59149 is prime, so its only factors are 1 and 59149. It is the 5981st prime; the next prime is 59159 and the one before is 59141.
- 3
The divisors add up to 59150; without 59149 itself that is 1, so 59149 is deficient (1 is less than 59149). Euler's totient φ(59149) = 59148 numbers up to 59149 share no factor with it.
- 4
The digits of 59149 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 60 steps to reach 1.
59149 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59150 |
| Euler totient φ(n) | 59148 |
| Square | 3498604201 |
| Cube | 206938939884949 |
| Square root | 243.205674 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.9149 × |
59149 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and forty-nine |
| Binary (base 2) | 1110011100001101 |
| Octal (base 8) | 163415 |
| Hexadecimal (base 16) | E70D |
| Base 3 | 10000010201 |
| As time | 59149 seconds = 16 h 25 min 49 s |
Is 59149 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 4) | 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 6) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 59149 a prime number?
Yes. 59149 is divisible only by 1 and itself.
What are the factors of 59149?
1, 59149.
What is 59149 in binary?
1110011100001101 (hexadecimal E70D, octal 163415).
What is the square root of 59149?
About 243.2057.
Is 59149 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59149?
59149 is the 5981st prime number.