The number 58164
58164 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 131. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 74, 111, 131, 148, 222, 262, 393, 444, 524 … 58164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58164 is composite. Its prime factorisation is
- 3
The divisors add up to 140448; without 58164 itself that is 82284, so 58164 is abundant (82284 is more than 58164). Euler's totient φ(58164) = 18720 numbers up to 58164 share no factor with it.
- 4
The digits of 58164 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58164 = 2^{2} \times 3 \times 37 \times 131 \]58164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 140448 |
| Euler totient φ(n) | 18720 |
| Square | 3383050896 |
| Cube | 196771772314944 |
| Square root | 241.172138 (= 2√14541) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8164 × |
58164 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and sixty-four |
| Binary (base 2) | 1110001100110100 |
| Octal (base 8) | 161464 |
| Hexadecimal (base 16) | E334 |
| Base 3 | 2221210020 |
| As time | 58164 seconds = 16 h 9 min 24 s |
Is 58164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58164 ÷ 2 = 29082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58164 ÷ 3 = 19388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58164 ÷ 4 = 14541) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58164 ÷ 6 = 9694) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58164 ÷ 12 = 4847) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58164 a prime number?
No. 58164 = × 3 × 37 × 131, so it is divisible by 2.
What are the factors of 58164?
1, 2, 3, 4, 6, 12, 37, 74, 111, 131, 148, 222, 262, 393, 444, 524, 786, 1572, 4847, 9694, 14541, 19388, 29082, 58164.
What is 58164 in binary?
1110001100110100 (hexadecimal E334, octal 161464).
What is the square root of 58164?
About 241.1721, exactly 2√14541.
Is 58164 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58164?
It is a composite number with 24 divisors.