The number 38241
38241 is a composite number with 12 divisors. Its prime factorisation is × 7 × 607. Divisors (12): 1, 3, 7, 9, 21, 63, 607, 1821, 4249, 5463, 12747, 38241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38241: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38241 is composite. Its prime factorisation is
- 3
The divisors add up to 63232; without 38241 itself that is 24991, so 38241 is deficient (24991 is less than 38241). Euler's totient φ(38241) = 21816 numbers up to 38241 share no factor with it.
- 4
The digits of 38241 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38241 = 3^{2} \times 7 \times 607 \]38241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63232 |
| Euler totient φ(n) | 21816 |
| Square | 1462374081 |
| Cube | 55922647231521 |
| Square root | 195.553062 (= 3√4249) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8241 × |
38241 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and forty-one |
| Binary (base 2) | 1001010101100001 |
| Octal (base 8) | 112541 |
| Hexadecimal (base 16) | 9561 |
| Base 3 | 1221110100 |
| As time | 38241 seconds = 10 h 37 min 21 s |
Is 38241 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38241 ÷ 3 = 12747) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38241 ÷ 7 = 5463) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38241 ÷ 9 = 4249) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38241 a prime number?
No. 38241 = × 7 × 607, so it is divisible by 3.
What are the factors of 38241?
1, 3, 7, 9, 21, 63, 607, 1821, 4249, 5463, 12747, 38241.
What is 38241 in binary?
1001010101100001 (hexadecimal 9561, octal 112541).
What is the square root of 38241?
About 195.5531, exactly 3√4249.
Is 38241 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38241?
38241 is a happy number: repeatedly adding the squares of its digits reaches 1.