The number 37222
37222 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 503. Divisors (8): 1, 2, 37, 74, 503, 1006, 18611, 37222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37222: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37222 is composite. Its prime factorisation is
- 3
The divisors add up to 57456; without 37222 itself that is 20234, so 37222 is deficient (20234 is less than 37222). Euler's totient φ(37222) = 18072 numbers up to 37222 share no factor with it.
- 4
The digits of 37222 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37222 = 2 \times 37 \times 503 \]
37222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57456 |
| Euler totient φ(n) | 18072 |
| Square | 1385477284 |
| Cube | 51570235465048 |
| Square root | 192.930039 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7222 × |
37222 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and twenty-two |
| Binary (base 2) | 1001000101100110 |
| Octal (base 8) | 110546 |
| Hexadecimal (base 16) | 9166 |
| Base 3 | 1220001121 |
| As time | 37222 seconds = 10 h 20 min 22 s |
Is 37222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37222 ÷ 2 = 18611) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37222 a prime number?
No. 37222 = 2 × 37 × 503, so it is divisible by 2.
What are the factors of 37222?
1, 2, 37, 74, 503, 1006, 18611, 37222.
What is 37222 in binary?
1001000101100110 (hexadecimal 9166, octal 110546).
What is the square root of 37222?
About 192.9300.
Is 37222 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 37222?
37222 is a happy number: repeatedly adding the squares of its digits reaches 1.