The number 59540
59540 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 229. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 229, 260, 458, 916, 1145 … 59540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59540 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59540 is composite. Its prime factorisation is
- 3
The divisors add up to 135240; without 59540 itself that is 75700, so 59540 is abundant (75700 is more than 59540). Euler's totient φ(59540) = 21888 numbers up to 59540 share no factor with it.
- 4
The digits of 59540 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59540 = 2^{2} \times 5 \times 13 \times 229 \]59540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 135240 |
| Euler totient φ(n) | 21888 |
| Square | 3545011600 |
| Cube | 211069990664000 |
| Square root | 244.008197 (= 2√14885) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.954 × |
59540 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand five hundred and forty |
| Binary (base 2) | 1110100010010100 |
| Octal (base 8) | 164224 |
| Hexadecimal (base 16) | E894 |
| Base 3 | 10000200012 |
| As time | 59540 seconds = 16 h 32 min 20 s |
Is 59540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59540 ÷ 2 = 29770) | 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 (59540 ÷ 4 = 14885) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59540 ÷ 5 = 11908) | 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 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59540 ÷ 10 = 5954) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59540 a prime number?
No. 59540 = × 5 × 13 × 229, so it is divisible by 2.
What are the factors of 59540?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 229, 260, 458, 916, 1145, 2290, 2977, 4580, 5954, 11908, 14885, 29770, 59540.
What is 59540 in binary?
1110100010010100 (hexadecimal E894, octal 164224).
What is the square root of 59540?
About 244.0082, exactly 2√14885.
Is 59540 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 59540?
It is a composite number with 24 divisors.