The number 58240
58240 is a composite number with 64 divisors. Its prime factorisation is × 5 × 7 × 13. Divisors (64): 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 32, 35, 40 … 58240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58240: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58240 is composite. Its prime factorisation is
- 3
The divisors add up to 171360; without 58240 itself that is 113120, so 58240 is abundant (113120 is more than 58240). Euler's totient φ(58240) = 18432 numbers up to 58240 share no factor with it.
- 4
The digits of 58240 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
\[ 58240 = 2^{7} \times 5 \times 7 \times 13 \]58240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 171360 |
| Euler totient φ(n) | 18432 |
| Square | 3391897600 |
| Cube | 197544116224000 |
| Square root | 241.329650 (= 8√910) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.824 × |
58240 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and forty |
| Binary (base 2) | 1110001110000000 |
| Octal (base 8) | 161600 |
| Hexadecimal (base 16) | E380 |
| Base 3 | 2221220001 |
| As time | 58240 seconds = 16 h 10 min 40 s |
Is 58240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58240 ÷ 2 = 29120) | 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 (58240 ÷ 4 = 14560) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58240 ÷ 5 = 11648) | 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 | Yes (58240 ÷ 7 = 8320) | 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 (58240 ÷ 8 = 7280) | 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 (58240 ÷ 10 = 5824) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 58240 a prime number?
No. 58240 = × 5 × 7 × 13, so it is divisible by 2.
What are the factors of 58240?
1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 32, 35, 40, 52, 56, 64, 65, 70, 80, 91, 104, 112, 128, 130, 140, 160, 182, 208, 224, 260, 280, 320, 364, 416, 448, 455, 520, 560, 640, 728, 832, 896, 910, 1040, 1120, 1456, 1664, 1820, 2080, 2240, 2912, 3640, 4160, 4480, 5824, 7280, 8320, 11648, 14560, 29120, 58240.
What is 58240 in binary?
1110001110000000 (hexadecimal E380, octal 161600).
What is the square root of 58240?
About 241.3297, exactly 8√910.
Is 58240 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 58240?
58240 is a happy number: repeatedly adding the squares of its digits reaches 1.