The number 58340
58340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2917. Divisors (12): 1, 2, 4, 5, 10, 20, 2917, 5834, 11668, 14585, 29170, 58340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58340: a Harshad number: divisible by its digit sum 20.
- 2
58340 is composite. Its prime factorisation is
- 3
The divisors add up to 122556; without 58340 itself that is 64216, so 58340 is abundant (64216 is more than 58340). Euler's totient φ(58340) = 23328 numbers up to 58340 share no factor with it.
- 4
The digits of 58340 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58340 = 2^{2} \times 5 \times 2917 \]58340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 122556 |
| Euler totient φ(n) | 23328 |
| Square | 3403555600 |
| Cube | 198563433704000 |
| Square root | 241.536747 (= 2√14585) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.834 × |
58340 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and forty |
| Binary (base 2) | 1110001111100100 |
| Octal (base 8) | 161744 |
| Hexadecimal (base 16) | E3E4 |
| Base 3 | 2222000202 |
| As time | 58340 seconds = 16 h 12 min 20 s |
Is 58340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58340 ÷ 2 = 29170) | 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 (58340 ÷ 4 = 14585) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58340 ÷ 5 = 11668) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58340 ÷ 10 = 5834) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58340 a prime number?
No. 58340 = × 5 × 2917, so it is divisible by 2.
What are the factors of 58340?
1, 2, 4, 5, 10, 20, 2917, 5834, 11668, 14585, 29170, 58340.
What is 58340 in binary?
1110001111100100 (hexadecimal E3E4, octal 161744).
What is the square root of 58340?
About 241.5367, exactly 2√14585.
Is 58340 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 58340?
58340 is a Harshad number: divisible by its digit sum 20.