The number 22237
22237 is a composite number with 4 divisors. Its prime factorisation is 37 × 601. Divisors (4): 1, 37, 601, 22237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22237: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 601, the product of two primes.
- 2
22237 is composite. Its prime factorisation is
- 3
The divisors add up to 22876; without 22237 itself that is 639, so 22237 is deficient (639 is less than 22237). Euler's totient φ(22237) = 21600 numbers up to 22237 share no factor with it.
- 4
The digits of 22237 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 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22237 = 37 \times 601 \]
22237 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 22876 |
| Euler totient φ(n) | 21600 |
| Square | 494484169 |
| Cube | 10995844466053 |
| Square root | 149.120756 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2237 × |
22237 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and thirty-seven |
| Binary (base 2) | 101011011011101 |
| Octal (base 8) | 53335 |
| Hexadecimal (base 16) | 56DD |
| Base 3 | 1010111121 |
| As time | 22237 seconds = 6 h 10 min 37 s |
Is 22237 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 2) | 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 | No (remainder 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22237 a prime number?
No. 22237 = 37 × 601, so it is divisible by 37.
What are the factors of 22237?
1, 37, 601, 22237.
What is 22237 in binary?
101011011011101 (hexadecimal 56DD, octal 53335).
What is the square root of 22237?
About 149.1208.
Is 22237 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 22237?
22237 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 601, the product of two primes.