The number 22137
22137 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 157. Divisors (8): 1, 3, 47, 141, 157, 471, 7379, 22137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22137 is composite. Its prime factorisation is
- 3
The divisors add up to 30336; without 22137 itself that is 8199, so 22137 is deficient (8199 is less than 22137). Euler's totient φ(22137) = 14352 numbers up to 22137 share no factor with it.
- 4
The digits of 22137 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 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22137 = 3 \times 47 \times 157 \]
22137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30336 |
| Euler totient φ(n) | 14352 |
| Square | 490046769 |
| Cube | 10848165325353 |
| Square root | 148.785080 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2137 × |
22137 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and thirty-seven |
| Binary (base 2) | 101011001111001 |
| Octal (base 8) | 53171 |
| Hexadecimal (base 16) | 5679 |
| Base 3 | 1010100220 |
| As time | 22137 seconds = 6 h 8 min 57 s |
Is 22137 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 (22137 ÷ 3 = 7379) | 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 3) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 22137 a prime number?
No. 22137 = 3 × 47 × 157, so it is divisible by 3.
What are the factors of 22137?
1, 3, 47, 141, 157, 471, 7379, 22137.
What is 22137 in binary?
101011001111001 (hexadecimal 5679, octal 53171).
What is the square root of 22137?
About 148.7851.
Is 22137 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 22137?
It is a composite number with 8 divisors.