The number 63001
63001 is a perfect square (251²). Its prime factorisation is . Divisors (3): 1, 251, 63001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 63001: a perfect square (251²); the square of a prime (251²).
- 2
63001 is composite. Its prime factorisation is
- 3
The divisors add up to 63253; without 63001 itself that is 252, so 63001 is deficient (252 is less than 63001). Euler's totient φ(63001) = 62750 numbers up to 63001 share no factor with it.
- 4
The digits of 63001 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63001 = 251^{2} \]63001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 63253 |
| Euler totient φ(n) | 62750 |
| Square | 3969126001 |
| Cube | 250058907189001 |
| Square root | 251 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.3001 × |
| Perfect power |
63001 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand and one |
| Binary (base 2) | 1111011000011001 |
| Octal (base 8) | 173031 |
| Hexadecimal (base 16) | F619 |
| Base 3 | 10012102101 |
| As time | 63001 seconds = 17 h 30 min 1 s |
Is 63001 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 1) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 63001 a prime number?
No. 63001 = , so it is divisible by 251.
What are the factors of 63001?
1, 251, 63001.
What is 63001 in binary?
1111011000011001 (hexadecimal F619, octal 173031).
What is the square root of 63001?
251, because 251 × 251 = 63001.
Is 63001 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 63001?
63001 is a perfect square (251²); the square of a prime (251²).