The number 38512
38512 is a composite number with 20 divisors. Its prime factorisation is × 29 × 83. Divisors (20): 1, 2, 4, 8, 16, 29, 58, 83, 116, 166, 232, 332, 464, 664, 1328, 2407 … 38512.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38512: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38512 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 38512 itself that is 39608, so 38512 is abundant (39608 is more than 38512). Euler's totient φ(38512) = 18368 numbers up to 38512 share no factor with it.
- 4
The digits of 38512 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38512 = 2^{4} \times 29 \times 83 \]38512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 78120 |
| Euler totient φ(n) | 18368 |
| Square | 1483174144 |
| Cube | 57120002633728 |
| Square root | 196.244745 (= 4√2407) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8512 × |
38512 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and twelve |
| Binary (base 2) | 1001011001110000 |
| Octal (base 8) | 113160 |
| Hexadecimal (base 16) | 9670 |
| Base 3 | 1221211101 |
| As time | 38512 seconds = 10 h 41 min 52 s |
Is 38512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38512 ÷ 2 = 19256) | 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 (38512 ÷ 4 = 9628) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 (38512 ÷ 8 = 4814) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 38512 a prime number?
No. 38512 = × 29 × 83, so it is divisible by 2.
What are the factors of 38512?
1, 2, 4, 8, 16, 29, 58, 83, 116, 166, 232, 332, 464, 664, 1328, 2407, 4814, 9628, 19256, 38512.
What is 38512 in binary?
1001011001110000 (hexadecimal 9670, octal 113160).
What is the square root of 38512?
About 196.2447, exactly 4√2407.
Is 38512 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38512?
38512 is a happy number: repeatedly adding the squares of its digits reaches 1.