The number 58964
58964 is a composite number with 6 divisors. Its prime factorisation is × 14741. Divisors (6): 1, 2, 4, 14741, 29482, 58964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58964 is composite. Its prime factorisation is
- 3
The divisors add up to 103194; without 58964 itself that is 44230, so 58964 is deficient (44230 is less than 58964). Euler's totient φ(58964) = 29480 numbers up to 58964 share no factor with it.
- 4
The digits of 58964 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58964 = 2^{2} \times 14741 \]58964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 103194 |
| Euler totient φ(n) | 29480 |
| Square | 3476753296 |
| Cube | 205003281345344 |
| Square root | 242.825040 (= 2√14741) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8964 × |
58964 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and sixty-four |
| Binary (base 2) | 1110011001010100 |
| Octal (base 8) | 163124 |
| Hexadecimal (base 16) | E654 |
| Base 3 | 2222212212 |
| As time | 58964 seconds = 16 h 22 min 44 s |
Is 58964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58964 ÷ 2 = 29482) | 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 | Yes (58964 ÷ 4 = 14741) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58964 a prime number?
No. 58964 = × 14741, so it is divisible by 2.
What are the factors of 58964?
1, 2, 4, 14741, 29482, 58964.
What is 58964 in binary?
1110011001010100 (hexadecimal E654, octal 163124).
What is the square root of 58964?
About 242.8250, exactly 2√14741.
Is 58964 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 58964?
It is a composite number with 6 divisors.