The number 61001
61001 is the 6146th prime number. Its only divisors are 1 and 61001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61001: the 6146th prime number.
- 2
61001 is prime, so its only factors are 1 and 61001. It is the 6146th prime; the next prime is 61007 and the one before is 60961.
- 3
The divisors add up to 61002; without 61001 itself that is 1, so 61001 is deficient (1 is less than 61001). Euler's totient φ(61001) = 61000 numbers up to 61001 share no factor with it.
- 4
The digits of 61001 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
61001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 61002 |
| Euler totient φ(n) | 61000 |
| Square | 3721122001 |
| Cube | 226992163183001 |
| Square root | 246.983805 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1001 × |
61001 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and one |
| Binary (base 2) | 1110111001001001 |
| Octal (base 8) | 167111 |
| Hexadecimal (base 16) | EE49 |
| Base 3 | 10002200022 |
| As time | 61001 seconds = 16 h 56 min 41 s |
Is 61001 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 3) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61001 a prime number?
Yes. 61001 is divisible only by 1 and itself.
What are the factors of 61001?
1, 61001.
What is 61001 in binary?
1110111001001001 (hexadecimal EE49, octal 167111).
What is the square root of 61001?
About 246.9838.
Is 61001 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 61001?
61001 is the 6146th prime number.