The number 22997
22997 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 61. Divisors (8): 1, 13, 29, 61, 377, 793, 1769, 22997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22997: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.
- 2
22997 is composite. Its prime factorisation is
- 3
The divisors add up to 26040; without 22997 itself that is 3043, so 22997 is deficient (3043 is less than 22997). Euler's totient φ(22997) = 20160 numbers up to 22997 share no factor with it.
- 4
The digits of 22997 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22997 = 13 \times 29 \times 61 \]
22997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26040 |
| Euler totient φ(n) | 20160 |
| Square | 528862009 |
| Cube | 12162239620973 |
| Square root | 151.647618 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.2997 × |
22997 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand nine hundred and ninety-seven |
| Binary (base 2) | 101100111010101 |
| Octal (base 8) | 54725 |
| Hexadecimal (base 16) | 59D5 |
| Base 3 | 1011112202 |
| As time | 22997 seconds = 6 h 23 min 17 s |
Is 22997 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 2) | 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 5) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22997 a prime number?
No. 22997 = 13 × 29 × 61, so it is divisible by 13.
What are the factors of 22997?
1, 13, 29, 61, 377, 793, 1769, 22997.
What is 22997 in binary?
101100111010101 (hexadecimal 59D5, octal 54725).
What is the square root of 22997?
About 151.6476.
Is 22997 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 22997?
22997 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.