The number 59048
59048 is a composite number with 24 divisors. Its prime factorisation is × × 61. Divisors (24): 1, 2, 4, 8, 11, 22, 44, 61, 88, 121, 122, 242, 244, 484, 488, 671 … 59048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59048 is composite. Its prime factorisation is
- 3
The divisors add up to 123690; without 59048 itself that is 64642, so 59048 is abundant (64642 is more than 59048). Euler's totient φ(59048) = 26400 numbers up to 59048 share no factor with it.
- 4
The digits of 59048 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59048 = 2^{3} \times 11^{2} \times 61 \]59048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123690 |
| Euler totient φ(n) | 26400 |
| Square | 3486666304 |
| Cube | 205880671918592 |
| Square root | 242.997942 (= 22√122) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 5.9048 × |
59048 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and forty-eight |
| Binary (base 2) | 1110011010101000 |
| Octal (base 8) | 163250 |
| Hexadecimal (base 16) | E6A8 |
| Base 3 | 2222222222 |
| As time | 59048 seconds = 16 h 24 min 8 s |
Is 59048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59048 ÷ 2 = 29524) | 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 (59048 ÷ 4 = 14762) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 3) | 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 (59048 ÷ 8 = 7381) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (59048 ÷ 11 = 5368) | 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 59048 a prime number?
No. 59048 = × × 61, so it is divisible by 2.
What are the factors of 59048?
1, 2, 4, 8, 11, 22, 44, 61, 88, 121, 122, 242, 244, 484, 488, 671, 968, 1342, 2684, 5368, 7381, 14762, 29524, 59048.
What is 59048 in binary?
1110011010101000 (hexadecimal E6A8, octal 163250).
What is the square root of 59048?
About 242.9979, exactly 22√122.
Is 59048 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59048?
It is a composite number with 24 divisors.