The number 22401
22401 is a composite number with 12 divisors. Its prime factorisation is × 19 × 131. Divisors (12): 1, 3, 9, 19, 57, 131, 171, 393, 1179, 2489, 7467, 22401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22401: a Harshad number: divisible by its digit sum 9.
- 2
22401 is composite. Its prime factorisation is
- 3
The divisors add up to 34320; without 22401 itself that is 11919, so 22401 is deficient (11919 is less than 22401). Euler's totient φ(22401) = 14040 numbers up to 22401 share no factor with it.
- 4
The digits of 22401 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22401 = 3^{2} \times 19 \times 131 \]22401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34320 |
| Euler totient φ(n) | 14040 |
| Square | 501804801 |
| Cube | 11240929347201 |
| Square root | 149.669636 (= 3√2489) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2401 × |
22401 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and one |
| Binary (base 2) | 101011110000001 |
| Octal (base 8) | 53601 |
| Hexadecimal (base 16) | 5781 |
| Base 3 | 1010201200 |
| As time | 22401 seconds = 6 h 13 min 21 s |
Is 22401 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 (22401 ÷ 3 = 7467) | 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 1) | 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 1) | 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 | Yes (22401 ÷ 9 = 2489) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 22401 a prime number?
No. 22401 = × 19 × 131, so it is divisible by 3.
What are the factors of 22401?
1, 3, 9, 19, 57, 131, 171, 393, 1179, 2489, 7467, 22401.
What is 22401 in binary?
101011110000001 (hexadecimal 5781, octal 53601).
What is the square root of 22401?
About 149.6696, exactly 3√2489.
Is 22401 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22401?
22401 is a Harshad number: divisible by its digit sum 9.