The number 5801
5801 is the 761st prime number. Its only divisors are 1 and 5801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5801: the 761st prime number.
- 2
5801 is prime, so its only factors are 1 and 5801. It is the 761st prime; the next prime is 5807 and the one before is 5791.
- 3
The divisors add up to 5802; without 5801 itself that is 1, so 5801 is deficient (1 is less than 5801). Euler's totient φ(5801) = 5800 numbers up to 5801 share no factor with it.
- 4
The digits of 5801 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
5801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5802 |
| Euler totient φ(n) | 5800 |
| Square | 33651601 |
| Cube | 195212937401 |
| Square root | 76.164296 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.801 × |
5801 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and one |
| Binary (base 2) | 1011010101001 |
| Octal (base 8) | 13251 |
| Hexadecimal (base 16) | 16A9 |
| Base 3 | 21221212 |
| As time | 5801 seconds = 1 h 36 min 41 s |
Is 5801 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 1) | 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 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5801 a prime number?
Yes. 5801 is divisible only by 1 and itself.
What are the factors of 5801?
1, 5801.
What is 5801 in binary?
1011010101001 (hexadecimal 16A9, octal 13251).
What is the square root of 5801?
About 76.1643.
Is 5801 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5801?
5801 is the 761st prime number.