The number 58401
58401 is a composite number with 20 divisors. Its prime factorisation is × 7 × 103. Divisors (20): 1, 3, 7, 9, 21, 27, 63, 81, 103, 189, 309, 567, 721, 927, 2163, 2781 … 58401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58401 is composite. Its prime factorisation is
- 3
The divisors add up to 100672; without 58401 itself that is 42271, so 58401 is deficient (42271 is less than 58401). Euler's totient φ(58401) = 33048 numbers up to 58401 share no factor with it.
- 4
The digits of 58401 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58401 = 3^{4} \times 7 \times 103 \]58401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 100672 |
| Euler totient φ(n) | 33048 |
| Square | 3410676801 |
| Cube | 199186935855201 |
| Square root | 241.662988 (= 9√721) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8401 × |
58401 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and one |
| Binary (base 2) | 1110010000100001 |
| Octal (base 8) | 162041 |
| Hexadecimal (base 16) | E421 |
| Base 3 | 2222010000 |
| As time | 58401 seconds = 16 h 13 min 21 s |
Is 58401 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58401 ÷ 3 = 19467) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58401 ÷ 7 = 8343) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58401 ÷ 9 = 6489) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58401 a prime number?
No. 58401 = × 7 × 103, so it is divisible by 3.
What are the factors of 58401?
1, 3, 7, 9, 21, 27, 63, 81, 103, 189, 309, 567, 721, 927, 2163, 2781, 6489, 8343, 19467, 58401.
What is 58401 in binary?
1110010000100001 (hexadecimal E421, octal 162041).
What is the square root of 58401?
About 241.6630, exactly 9√721.
Is 58401 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 58401?
It is a composite number with 20 divisors.