The number 37221
37221 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 653. Divisors (8): 1, 3, 19, 57, 653, 1959, 12407, 37221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37221 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37221 is composite. Its prime factorisation is
- 3
The divisors add up to 52320; without 37221 itself that is 15099, so 37221 is deficient (15099 is less than 37221). Euler's totient φ(37221) = 23472 numbers up to 37221 share no factor with it.
- 4
The digits of 37221 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37221 = 3 \times 19 \times 653 \]
37221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52320 |
| Euler totient φ(n) | 23472 |
| Square | 1385402841 |
| Cube | 51566079144861 |
| Square root | 192.927448 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7221 × |
37221 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and twenty-one |
| Binary (base 2) | 1001000101100101 |
| Octal (base 8) | 110545 |
| Hexadecimal (base 16) | 9165 |
| Base 3 | 1220001120 |
| As time | 37221 seconds = 10 h 20 min 21 s |
Is 37221 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 (37221 ÷ 3 = 12407) | 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 2) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 37221 a prime number?
No. 37221 = 3 × 19 × 653, so it is divisible by 3.
What are the factors of 37221?
1, 3, 19, 57, 653, 1959, 12407, 37221.
What is 37221 in binary?
1001000101100101 (hexadecimal 9165, octal 110545).
What is the square root of 37221?
About 192.9274.
Is 37221 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 37221?
It is a composite number with 8 divisors.