The number 38872
38872 is a composite number with 16 divisors. Its prime factorisation is × 43 × 113. Divisors (16): 1, 2, 4, 8, 43, 86, 113, 172, 226, 344, 452, 904, 4859, 9718, 19436, 38872.
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How to work it out
- 1
What is special about 38872: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38872 is composite. Its prime factorisation is
- 3
The divisors add up to 75240; without 38872 itself that is 36368, so 38872 is deficient (36368 is less than 38872). Euler's totient φ(38872) = 18816 numbers up to 38872 share no factor with it.
- 4
The digits of 38872 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38872 = 2^{3} \times 43 \times 113 \]38872 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75240 |
| Euler totient φ(n) | 18816 |
| Square | 1511032384 |
| Cube | 58736850830848 |
| Square root | 197.159834 (= 2√9718) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8872 × |
38872 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and seventy-two |
| Binary (base 2) | 1001011111011000 |
| Octal (base 8) | 113730 |
| Hexadecimal (base 16) | 97D8 |
| Base 3 | 1222022201 |
| As time | 38872 seconds = 10 h 47 min 52 s |
Is 38872 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38872 ÷ 2 = 19436) | 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 (38872 ÷ 4 = 9718) | 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 1) | 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 (38872 ÷ 8 = 4859) | 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 9) | 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 38872 a prime number?
No. 38872 = × 43 × 113, so it is divisible by 2.
What are the factors of 38872?
1, 2, 4, 8, 43, 86, 113, 172, 226, 344, 452, 904, 4859, 9718, 19436, 38872.
What is 38872 in binary?
1001011111011000 (hexadecimal 97D8, octal 113730).
What is the square root of 38872?
About 197.1598, exactly 2√9718.
Is 38872 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38872?
38872 is a happy number: repeatedly adding the squares of its digits reaches 1.