The number 601
601 is a twin prime (599 and 601 are both prime) and the 110th prime number. Its only divisors are 1 and 601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 601: a twin prime (599 and 601 are both prime); the 110th prime number.
- 2
601 is prime, so its only factors are 1 and 601. It is the 110th prime; the next prime is 607 and the one before is 599.
- 3
The divisors add up to 602; without 601 itself that is 1, so 601 is deficient (1 is less than 601). Euler's totient φ(601) = 600 numbers up to 601 share no factor with it.
- 4
The digits of 601 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
601 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 602 |
| Euler totient φ(n) | 600 |
| Square | 361201 |
| Cube | 217081801 |
| Square root | 24.515301 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 6.01 × |
601 in other forms
| Form | Value |
|---|---|
| In words | six hundred and one |
| Roman numerals | DCI |
| Binary (base 2) | 1001011001 |
| Octal (base 8) | 1131 |
| Hexadecimal (base 16) | 259 |
| Base 3 | 211021 |
| As time | 601 seconds = 10 min 1 s |
Is 601 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 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 601 a prime number?
Yes. 601 is divisible only by 1 and itself.
What are the factors of 601?
1, 601.
What is 601 in binary?
1001011001 (hexadecimal 259, octal 1131).
What is the square root of 601?
About 24.5153.
What is 601 in Roman numerals?
DCI.
Is 601 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 601?
601 is a twin prime (599 and 601 are both prime); the 110th prime number.