The number 38136
38136 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 227. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 38136.
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How to work it out
- 1
What is special about 38136: a Harshad number: divisible by its digit sum 21.
- 2
38136 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 38136 itself that is 71304, so 38136 is abundant (71304 is more than 38136). Euler's totient φ(38136) = 10848 numbers up to 38136 share no factor with it.
- 4
The digits of 38136 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38136 = 2^{3} \times 3 \times 7 \times 227 \]38136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 10848 |
| Square | 1454354496 |
| Cube | 55463263059456 |
| Square root | 195.284408 (= 2√9534) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8136 × |
38136 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and thirty-six |
| Binary (base 2) | 1001010011111000 |
| Octal (base 8) | 112370 |
| Hexadecimal (base 16) | 94F8 |
| Base 3 | 1221022110 |
| As time | 38136 seconds = 10 h 35 min 36 s |
Is 38136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38136 ÷ 2 = 19068) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38136 ÷ 3 = 12712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38136 ÷ 4 = 9534) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38136 ÷ 6 = 6356) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38136 ÷ 7 = 5448) | 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 (38136 ÷ 8 = 4767) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38136 ÷ 12 = 3178) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38136 a prime number?
No. 38136 = × 3 × 7 × 227, so it is divisible by 2.
What are the factors of 38136?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 227, 454, 681, 908, 1362, 1589, 1816, 2724, 3178, 4767, 5448, 6356, 9534, 12712, 19068, 38136.
What is 38136 in binary?
1001010011111000 (hexadecimal 94F8, octal 112370).
What is the square root of 38136?
About 195.2844, exactly 2√9534.
Is 38136 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38136?
38136 is a Harshad number: divisible by its digit sum 21.