The number 38584
38584 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 53. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 53, 56, 91, 104, 106, 182 … 38584.
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How to work it out
- 1
What is special about 38584: a Harshad number: divisible by its digit sum 28.
- 2
38584 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 38584 itself that is 52136, so 38584 is abundant (52136 is more than 38584). Euler's totient φ(38584) = 14976 numbers up to 38584 share no factor with it.
- 4
The digits of 38584 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38584 = 2^{3} \times 7 \times 13 \times 53 \]38584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 14976 |
| Square | 1488725056 |
| Cube | 57440967560704 |
| Square root | 196.428104 (= 2√9646) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8584 × |
38584 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and eighty-four |
| Binary (base 2) | 1001011010111000 |
| Octal (base 8) | 113270 |
| Hexadecimal (base 16) | 96B8 |
| Base 3 | 1221221001 |
| As time | 38584 seconds = 10 h 43 min 4 s |
Is 38584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38584 ÷ 2 = 19292) | 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 (38584 ÷ 4 = 9646) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (38584 ÷ 7 = 5512) | 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 (38584 ÷ 8 = 4823) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 38584 a prime number?
No. 38584 = × 7 × 13 × 53, so it is divisible by 2.
What are the factors of 38584?
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 53, 56, 91, 104, 106, 182, 212, 364, 371, 424, 689, 728, 742, 1378, 1484, 2756, 2968, 4823, 5512, 9646, 19292, 38584.
What is 38584 in binary?
1001011010111000 (hexadecimal 96B8, octal 113270).
What is the square root of 38584?
About 196.4281, exactly 2√9646.
Is 38584 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38584?
38584 is a Harshad number: divisible by its digit sum 28.