The number 38445
38445 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 233. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 233, 699, 1165, 2563, 3495, 7689, 12815, 38445.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38445: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38445 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 38445 itself that is 28947, so 38445 is deficient (28947 is less than 38445). Euler's totient φ(38445) = 18560 numbers up to 38445 share no factor with it.
- 4
The digits of 38445 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38445 = 3 \times 5 \times 11 \times 233 \]
38445 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 18560 |
| Square | 1478018025 |
| Cube | 56822402971125 |
| Square root | 196.073966 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8445 × |
38445 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and forty-five |
| Binary (base 2) | 1001011000101101 |
| Octal (base 8) | 113055 |
| Hexadecimal (base 16) | 962D |
| Base 3 | 1221201220 |
| As time | 38445 seconds = 10 h 40 min 45 s |
Is 38445 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 (38445 ÷ 3 = 12815) | 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 | Yes (38445 ÷ 5 = 7689) | 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 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 | No (remainder 5) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38445 ÷ 11 = 3495) | 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 38445 a prime number?
No. 38445 = 3 × 5 × 11 × 233, so it is divisible by 3.
What are the factors of 38445?
1, 3, 5, 11, 15, 33, 55, 165, 233, 699, 1165, 2563, 3495, 7689, 12815, 38445.
What is 38445 in binary?
1001011000101101 (hexadecimal 962D, octal 113055).
What is the square root of 38445?
About 196.0740.
Is 38445 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38445?
38445 is a happy number: repeatedly adding the squares of its digits reaches 1.