The number 59648
59648 is a composite number with 18 divisors. Its prime factorisation is × 233. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 233, 256, 466, 932, 1864, 3728, 7456, 14912 … 59648.
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How to work it out
- 1
What is special about 59648: a Harshad number: divisible by its digit sum 32.
- 2
59648 is composite. Its prime factorisation is
- 3
The divisors add up to 119574; without 59648 itself that is 59926, so 59648 is abundant (59926 is more than 59648). Euler's totient φ(59648) = 29696 numbers up to 59648 share no factor with it.
- 4
The digits of 59648 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59648 = 2^{8} \times 233 \]59648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 119574 |
| Euler totient φ(n) | 29696 |
| Square | 3557883904 |
| Cube | 212220659105792 |
| Square root | 244.229400 (= 16√233) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9648 × |
59648 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand six hundred and forty-eight |
| Binary (base 2) | 1110100100000000 |
| Octal (base 8) | 164400 |
| Hexadecimal (base 16) | E900 |
| Base 3 | 10000211012 |
| As time | 59648 seconds = 16 h 34 min 8 s |
Is 59648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59648 ÷ 2 = 29824) | 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 (59648 ÷ 4 = 14912) | 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 1) | 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 (59648 ÷ 8 = 7456) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 59648 a prime number?
No. 59648 = × 233, so it is divisible by 2.
What are the factors of 59648?
1, 2, 4, 8, 16, 32, 64, 128, 233, 256, 466, 932, 1864, 3728, 7456, 14912, 29824, 59648.
What is 59648 in binary?
1110100100000000 (hexadecimal E900, octal 164400).
What is the square root of 59648?
About 244.2294, exactly 16√233.
Is 59648 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 59648?
59648 is a Harshad number: divisible by its digit sum 32.