The number 58002
58002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1381. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1381, 2762, 4143, 8286, 9667, 19334, 29001, 58002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58002 is composite. Its prime factorisation is
- 3
The divisors add up to 132672; without 58002 itself that is 74670, so 58002 is abundant (74670 is more than 58002). Euler's totient φ(58002) = 16560 numbers up to 58002 share no factor with it.
- 4
The digits of 58002 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58002 = 2 \times 3 \times 7 \times 1381 \]
58002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 132672 |
| Euler totient φ(n) | 16560 |
| Square | 3364232004 |
| Cube | 195132184696008 |
| Square root | 240.836044 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8002 × |
58002 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and two |
| Binary (base 2) | 1110001010010010 |
| Octal (base 8) | 161222 |
| Hexadecimal (base 16) | E292 |
| Base 3 | 2221120020 |
| As time | 58002 seconds = 16 h 6 min 42 s |
Is 58002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58002 ÷ 2 = 29001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58002 ÷ 3 = 19334) | 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 | Yes (58002 ÷ 6 = 9667) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58002 ÷ 7 = 8286) | 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 6) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58002 a prime number?
No. 58002 = 2 × 3 × 7 × 1381, so it is divisible by 2.
What are the factors of 58002?
1, 2, 3, 6, 7, 14, 21, 42, 1381, 2762, 4143, 8286, 9667, 19334, 29001, 58002.
What is 58002 in binary?
1110001010010010 (hexadecimal E292, octal 161222).
What is the square root of 58002?
About 240.8360.
Is 58002 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 58002?
It is a composite number with 16 divisors.