The number 38376
38376 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 41. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 41, 52 … 38376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38376: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38376 is composite. Its prime factorisation is
- 3
The divisors add up to 114660; without 38376 itself that is 76284, so 38376 is abundant (76284 is more than 38376). Euler's totient φ(38376) = 11520 numbers up to 38376 share no factor with it.
- 4
The digits of 38376 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38376 = 2^{3} \times 3^{2} \times 13 \times 41 \]38376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 114660 |
| Euler totient φ(n) | 11520 |
| Square | 1472717376 |
| Cube | 56517002021376 |
| Square root | 195.897933 (= 6√1066) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8376 × |
38376 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and seventy-six |
| Binary (base 2) | 1001010111101000 |
| Octal (base 8) | 112750 |
| Hexadecimal (base 16) | 95E8 |
| Base 3 | 1221122100 |
| As time | 38376 seconds = 10 h 39 min 36 s |
Is 38376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38376 ÷ 2 = 19188) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38376 ÷ 3 = 12792) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38376 ÷ 4 = 9594) | 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 (38376 ÷ 6 = 6396) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (38376 ÷ 8 = 4797) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38376 ÷ 9 = 4264) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38376 ÷ 12 = 3198) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38376 a prime number?
No. 38376 = × × 13 × 41, so it is divisible by 2.
What are the factors of 38376?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 41, 52, 72, 78, 82, 104, 117, 123, 156, 164, 234, 246, 312, 328, 369, 468, 492, 533, 738, 936, 984, 1066, 1476, 1599, 2132, 2952, 3198, 4264, 4797, 6396, 9594, 12792, 19188, 38376.
What is 38376 in binary?
1001010111101000 (hexadecimal 95E8, octal 112750).
What is the square root of 38376?
About 195.8979, exactly 6√1066.
Is 38376 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38376?
38376 is a happy number: repeatedly adding the squares of its digits reaches 1.