The number 58420
58420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 127. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 127, 230, 254, 460, 508, 635 … 58420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58420: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58420 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 58420 itself that is 70604, so 58420 is abundant (70604 is more than 58420). Euler's totient φ(58420) = 22176 numbers up to 58420 share no factor with it.
- 4
The digits of 58420 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58420 = 2^{2} \times 5 \times 23 \times 127 \]58420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 22176 |
| Square | 3412896400 |
| Cube | 199381407688000 |
| Square root | 241.702296 (= 2√14605) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.842 × |
58420 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and twenty |
| Binary (base 2) | 1110010000110100 |
| Octal (base 8) | 162064 |
| Hexadecimal (base 16) | E434 |
| Base 3 | 2222010201 |
| As time | 58420 seconds = 16 h 13 min 40 s |
Is 58420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58420 ÷ 2 = 29210) | 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 (58420 ÷ 4 = 14605) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58420 ÷ 5 = 11684) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58420 ÷ 10 = 5842) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58420 a prime number?
No. 58420 = × 5 × 23 × 127, so it is divisible by 2.
What are the factors of 58420?
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 127, 230, 254, 460, 508, 635, 1270, 2540, 2921, 5842, 11684, 14605, 29210, 58420.
What is 58420 in binary?
1110010000110100 (hexadecimal E434, octal 162064).
What is the square root of 58420?
About 241.7023, exactly 2√14605.
Is 58420 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 58420?
58420 is a happy number: repeatedly adding the squares of its digits reaches 1.