The number 93728
93728 is a composite number with 24 divisors. Its prime factorisation is × 29 × 101. Divisors (24): 1, 2, 4, 8, 16, 29, 32, 58, 101, 116, 202, 232, 404, 464, 808, 928 … 93728.
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How to work it out
- 1
What is special about 93728: a Harshad number: divisible by its digit sum 29.
- 2
93728 is composite. Its prime factorisation is
- 3
The divisors add up to 192780; without 93728 itself that is 99052, so 93728 is abundant (99052 is more than 93728). Euler's totient φ(93728) = 44800 numbers up to 93728 share no factor with it.
- 4
The digits of 93728 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 93728 = 2^{5} \times 29 \times 101 \]93728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 192780 |
| Euler totient φ(n) | 44800 |
| Square | 8784937984 |
| Cube | 823394667364352 |
| Square root | 306.150290 (= 4√5858) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 102 |
| Scientific notation | 9.3728 × |
93728 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand seven hundred and twenty-eight |
| Binary (base 2) | 10110111000100000 |
| Octal (base 8) | 267040 |
| Hexadecimal (base 16) | 16E20 |
| Base 3 | 11202120102 |
| As time | 93728 seconds = 26 h 2 min 8 s |
Is 93728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (93728 ÷ 2 = 46864) | 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 (93728 ÷ 4 = 23432) | 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 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 | Yes (93728 ÷ 8 = 11716) | 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 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 93728 a prime number?
No. 93728 = × 29 × 101, so it is divisible by 2.
What are the factors of 93728?
1, 2, 4, 8, 16, 29, 32, 58, 101, 116, 202, 232, 404, 464, 808, 928, 1616, 2929, 3232, 5858, 11716, 23432, 46864, 93728.
What is 93728 in binary?
10110111000100000 (hexadecimal 16E20, octal 267040).
What is the square root of 93728?
About 306.1503, exactly 4√5858.
Is 93728 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 93728?
93728 is a Harshad number: divisible by its digit sum 29.