The number 22988
22988 is a composite number with 12 divisors. Its prime factorisation is × 7 × 821. Divisors (12): 1, 2, 4, 7, 14, 28, 821, 1642, 3284, 5747, 11494, 22988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22988 is composite. Its prime factorisation is
- 3
The divisors add up to 46032; without 22988 itself that is 23044, so 22988 is abundant (23044 is more than 22988). Euler's totient φ(22988) = 9840 numbers up to 22988 share no factor with it.
- 4
The digits of 22988 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 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22988 = 2^{2} \times 7 \times 821 \]22988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46032 |
| Euler totient φ(n) | 9840 |
| Square | 528448144 |
| Cube | 12147965934272 |
| Square root | 151.617941 (= 2√5747) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.2988 × |
22988 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand nine hundred and eighty-eight |
| Binary (base 2) | 101100111001100 |
| Octal (base 8) | 54714 |
| Hexadecimal (base 16) | 59CC |
| Base 3 | 1011112102 |
| As time | 22988 seconds = 6 h 23 min 8 s |
Is 22988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22988 ÷ 2 = 11494) | 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 | Yes (22988 ÷ 4 = 5747) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (22988 ÷ 7 = 3284) | 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 4) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22988 a prime number?
No. 22988 = × 7 × 821, so it is divisible by 2.
What are the factors of 22988?
1, 2, 4, 7, 14, 28, 821, 1642, 3284, 5747, 11494, 22988.
What is 22988 in binary?
101100111001100 (hexadecimal 59CC, octal 54714).
What is the square root of 22988?
About 151.6179, exactly 2√5747.
Is 22988 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 22988?
It is a composite number with 12 divisors.