The number 38521
38521 is a composite number with 4 divisors. Its prime factorisation is 7 × 5503. Divisors (4): 1, 7, 5503, 38521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38521: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 5503, the product of two primes.
- 2
38521 is composite. Its prime factorisation is
- 3
The divisors add up to 44032; without 38521 itself that is 5511, so 38521 is deficient (5511 is less than 38521). Euler's totient φ(38521) = 33012 numbers up to 38521 share no factor with it.
- 4
The digits of 38521 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38521 = 7 \times 5503 \]
38521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 44032 |
| Euler totient φ(n) | 33012 |
| Square | 1483867441 |
| Cube | 57160057694761 |
| Square root | 196.267674 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8521 × |
38521 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and twenty-one |
| Binary (base 2) | 1001011001111001 |
| Octal (base 8) | 113171 |
| Hexadecimal (base 16) | 9679 |
| Base 3 | 1221211201 |
| As time | 38521 seconds = 10 h 42 min 1 s |
Is 38521 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38521 ÷ 7 = 5503) | 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 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38521 a prime number?
No. 38521 = 7 × 5503, so it is divisible by 7.
What are the factors of 38521?
1, 7, 5503, 38521.
What is 38521 in binary?
1001011001111001 (hexadecimal 9679, octal 113171).
What is the square root of 38521?
About 196.2677.
Is 38521 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38521?
38521 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 5503, the product of two primes.