The number 57002
57002 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2591. Divisors (8): 1, 2, 11, 22, 2591, 5182, 28501, 57002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57002 is composite. Its prime factorisation is
- 3
The divisors add up to 93312; without 57002 itself that is 36310, so 57002 is deficient (36310 is less than 57002). Euler's totient φ(57002) = 25900 numbers up to 57002 share no factor with it.
- 4
The digits of 57002 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57002 = 2 \times 11 \times 2591 \]
57002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93312 |
| Euler totient φ(n) | 25900 |
| Square | 3249228004 |
| Cube | 185212494684008 |
| Square root | 238.750916 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7002 × |
57002 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and two |
| Binary (base 2) | 1101111010101010 |
| Octal (base 8) | 157252 |
| Hexadecimal (base 16) | DEAA |
| Base 3 | 2220012012 |
| As time | 57002 seconds = 15 h 50 min 2 s |
Is 57002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57002 ÷ 2 = 28501) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57002 ÷ 11 = 5182) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57002 a prime number?
No. 57002 = 2 × 11 × 2591, so it is divisible by 2.
What are the factors of 57002?
1, 2, 11, 22, 2591, 5182, 28501, 57002.
What is 57002 in binary?
1101111010101010 (hexadecimal DEAA, octal 157252).
What is the square root of 57002?
About 238.7509.
Is 57002 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 57002?
It is a composite number with 8 divisors.