The number 38121
38121 is a composite number with 8 divisors. Its prime factorisation is 3 × 97 × 131. Divisors (8): 1, 3, 97, 131, 291, 393, 12707, 38121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38121: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38121 is composite. Its prime factorisation is
- 3
The divisors add up to 51744; without 38121 itself that is 13623, so 38121 is deficient (13623 is less than 38121). Euler's totient φ(38121) = 24960 numbers up to 38121 share no factor with it.
- 4
The digits of 38121 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38121 = 3 \times 97 \times 131 \]
38121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51744 |
| Euler totient φ(n) | 24960 |
| Square | 1453210641 |
| Cube | 55397842845561 |
| Square root | 195.245999 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8121 × |
38121 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and twenty-one |
| Binary (base 2) | 1001010011101001 |
| Octal (base 8) | 112351 |
| Hexadecimal (base 16) | 94E9 |
| Base 3 | 1221021220 |
| As time | 38121 seconds = 10 h 35 min 21 s |
Is 38121 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 (38121 ÷ 3 = 12707) | 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 | No (remainder 6) | 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 | No (remainder 6) | 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 6) | 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 38121 a prime number?
No. 38121 = 3 × 97 × 131, so it is divisible by 3.
What are the factors of 38121?
1, 3, 97, 131, 291, 393, 12707, 38121.
What is 38121 in binary?
1001010011101001 (hexadecimal 94E9, octal 112351).
What is the square root of 38121?
About 195.2460.
Is 38121 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 38121?
38121 is a happy number: repeatedly adding the squares of its digits reaches 1.