The number 58440
58440 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 487. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 58440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58440 is composite. Its prime factorisation is
- 3
The divisors add up to 175680; without 58440 itself that is 117240, so 58440 is abundant (117240 is more than 58440). Euler's totient φ(58440) = 15552 numbers up to 58440 share no factor with it.
- 4
The digits of 58440 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58440 = 2^{3} \times 3 \times 5 \times 487 \]58440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 175680 |
| Euler totient φ(n) | 15552 |
| Square | 3415233600 |
| Cube | 199586251584000 |
| Square root | 241.743666 (= 2√14610) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.844 × |
58440 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and forty |
| Binary (base 2) | 1110010001001000 |
| Octal (base 8) | 162110 |
| Hexadecimal (base 16) | E448 |
| Base 3 | 2222011110 |
| As time | 58440 seconds = 16 h 14 min 0 s |
Is 58440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58440 ÷ 2 = 29220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58440 ÷ 3 = 19480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58440 ÷ 4 = 14610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58440 ÷ 5 = 11688) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58440 ÷ 6 = 9740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (58440 ÷ 8 = 7305) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58440 ÷ 10 = 5844) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58440 ÷ 12 = 4870) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58440 a prime number?
No. 58440 = × 3 × 5 × 487, so it is divisible by 2.
What are the factors of 58440?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 487, 974, 1461, 1948, 2435, 2922, 3896, 4870, 5844, 7305, 9740, 11688, 14610, 19480, 29220, 58440.
What is 58440 in binary?
1110010001001000 (hexadecimal E448, octal 162110).
What is the square root of 58440?
About 241.7437, exactly 2√14610.
Is 58440 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 58440?
It is a composite number with 32 divisors.