The number 59800
59800 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 23. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 20, 23, 25, 26, 40, 46, 50, 52, 65 … 59800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59800 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 59800 itself that is 96440, so 59800 is abundant (96440 is more than 59800). Euler's totient φ(59800) = 21120 numbers up to 59800 share no factor with it.
- 4
The digits of 59800 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59800 = 2^{3} \times 5^{2} \times 13 \times 23 \]59800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 21120 |
| Square | 3576040000 |
| Cube | 213847192000000 |
| Square root | 244.540385 (= 10√598) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.98 × |
59800 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand eight hundred |
| Binary (base 2) | 1110100110011000 |
| Octal (base 8) | 164630 |
| Hexadecimal (base 16) | E998 |
| Base 3 | 10001000211 |
| As time | 59800 seconds = 16 h 36 min 40 s |
Is 59800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59800 ÷ 2 = 29900) | 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 (59800 ÷ 4 = 14950) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59800 ÷ 5 = 11960) | 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 | No (remainder 6) | 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 (59800 ÷ 8 = 7475) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59800 ÷ 10 = 5980) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 59800 a prime number?
No. 59800 = × × 13 × 23, so it is divisible by 2.
What are the factors of 59800?
1, 2, 4, 5, 8, 10, 13, 20, 23, 25, 26, 40, 46, 50, 52, 65, 92, 100, 104, 115, 130, 184, 200, 230, 260, 299, 325, 460, 520, 575, 598, 650, 920, 1150, 1196, 1300, 1495, 2300, 2392, 2600, 2990, 4600, 5980, 7475, 11960, 14950, 29900, 59800.
What is 59800 in binary?
1110100110011000 (hexadecimal E998, octal 164630).
What is the square root of 59800?
About 244.5404, exactly 10√598.
Is 59800 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 59800?
It is a composite number with 48 divisors.