The number 57001
57001 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 479. Divisors (8): 1, 7, 17, 119, 479, 3353, 8143, 57001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57001 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 57001 itself that is 12119, so 57001 is deficient (12119 is less than 57001). Euler's totient φ(57001) = 45888 numbers up to 57001 share no factor with it.
- 4
The digits of 57001 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57001 = 7 \times 17 \times 479 \]
57001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 45888 |
| Square | 3249114001 |
| Cube | 185202747171001 |
| Square root | 238.748822 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.7001 × |
57001 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and one |
| Binary (base 2) | 1101111010101001 |
| Octal (base 8) | 157251 |
| Hexadecimal (base 16) | DEA9 |
| Base 3 | 2220012011 |
| As time | 57001 seconds = 15 h 50 min 1 s |
Is 57001 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 | Yes (57001 ÷ 7 = 8143) | 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 4) | 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 10) | 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 57001 a prime number?
No. 57001 = 7 × 17 × 479, so it is divisible by 7.
What are the factors of 57001?
1, 7, 17, 119, 479, 3353, 8143, 57001.
What is 57001 in binary?
1101111010101001 (hexadecimal DEA9, octal 157251).
What is the square root of 57001?
About 238.7488.
Is 57001 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 57001?
It is a composite number with 8 divisors.