The number 58960
58960 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 67. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 67, 80, 88 … 58960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58960 is composite. Its prime factorisation is
- 3
The divisors add up to 151776; without 58960 itself that is 92816, so 58960 is abundant (92816 is more than 58960). Euler's totient φ(58960) = 21120 numbers up to 58960 share no factor with it.
- 4
The digits of 58960 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58960 = 2^{4} \times 5 \times 11 \times 67 \]58960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 151776 |
| Euler totient φ(n) | 21120 |
| Square | 3476281600 |
| Cube | 204961563136000 |
| Square root | 242.816803 (= 4√3685) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.896 × |
58960 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and sixty |
| Binary (base 2) | 1110011001010000 |
| Octal (base 8) | 163120 |
| Hexadecimal (base 16) | E650 |
| Base 3 | 2222212201 |
| As time | 58960 seconds = 16 h 22 min 40 s |
Is 58960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58960 ÷ 2 = 29480) | 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 | Yes (58960 ÷ 4 = 14740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58960 ÷ 5 = 11792) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (58960 ÷ 8 = 7370) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58960 ÷ 10 = 5896) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (58960 ÷ 11 = 5360) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58960 a prime number?
No. 58960 = × 5 × 11 × 67, so it is divisible by 2.
What are the factors of 58960?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 67, 80, 88, 110, 134, 176, 220, 268, 335, 440, 536, 670, 737, 880, 1072, 1340, 1474, 2680, 2948, 3685, 5360, 5896, 7370, 11792, 14740, 29480, 58960.
What is 58960 in binary?
1110011001010000 (hexadecimal E650, octal 163120).
What is the square root of 58960?
About 242.8168, exactly 4√3685.
Is 58960 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 58960?
It is a composite number with 40 divisors.