The number 59888
59888 is a composite number with 20 divisors. Its prime factorisation is × 19 × 197. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 152, 197, 304, 394, 788, 1576, 3152, 3743 … 59888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59888: a Harshad number: divisible by its digit sum 38.
- 2
59888 is composite. Its prime factorisation is
- 3
The divisors add up to 122760; without 59888 itself that is 62872, so 59888 is abundant (62872 is more than 59888). Euler's totient φ(59888) = 28224 numbers up to 59888 share no factor with it.
- 4
The digits of 59888 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59888 = 2^{4} \times 19 \times 197 \]59888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 122760 |
| Euler totient φ(n) | 28224 |
| Square | 3586572544 |
| Cube | 214792656515072 |
| Square root | 244.720248 (= 4√3743) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9888 × |
59888 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand eight hundred and eighty-eight |
| Binary (base 2) | 1110100111110000 |
| Octal (base 8) | 164760 |
| Hexadecimal (base 16) | E9F0 |
| Base 3 | 10001011002 |
| As time | 59888 seconds = 16 h 38 min 8 s |
Is 59888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59888 ÷ 2 = 29944) | 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 (59888 ÷ 4 = 14972) | 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 (59888 ÷ 8 = 7486) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 4) | 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 59888 a prime number?
No. 59888 = × 19 × 197, so it is divisible by 2.
What are the factors of 59888?
1, 2, 4, 8, 16, 19, 38, 76, 152, 197, 304, 394, 788, 1576, 3152, 3743, 7486, 14972, 29944, 59888.
What is 59888 in binary?
1110100111110000 (hexadecimal E9F0, octal 164760).
What is the square root of 59888?
About 244.7202, exactly 4√3743.
Is 59888 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 59888?
59888 is a Harshad number: divisible by its digit sum 38.