The number 29722
29722 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 193. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 193, 386, 1351, 2123, 2702, 4246, 14861, 29722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29722: a Harshad number: divisible by its digit sum 22.
- 2
29722 is composite. Its prime factorisation is
- 3
The divisors add up to 55872; without 29722 itself that is 26150, so 29722 is deficient (26150 is less than 29722). Euler's totient φ(29722) = 11520 numbers up to 29722 share no factor with it.
- 4
The digits of 29722 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29722 = 2 \times 7 \times 11 \times 193 \]
29722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55872 |
| Euler totient φ(n) | 11520 |
| Square | 883397284 |
| Cube | 26256334075048 |
| Square root | 172.400696 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 2.9722 × |
29722 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and twenty-two |
| Binary (base 2) | 111010000011010 |
| Octal (base 8) | 72032 |
| Hexadecimal (base 16) | 741A |
| Base 3 | 1111202211 |
| As time | 29722 seconds = 8 h 15 min 22 s |
Is 29722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29722 ÷ 2 = 14861) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29722 ÷ 7 = 4246) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29722 ÷ 11 = 2702) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29722 a prime number?
No. 29722 = 2 × 7 × 11 × 193, so it is divisible by 2.
What are the factors of 29722?
1, 2, 7, 11, 14, 22, 77, 154, 193, 386, 1351, 2123, 2702, 4246, 14861, 29722.
What is 29722 in binary?
111010000011010 (hexadecimal 741A, octal 72032).
What is the square root of 29722?
About 172.4007.
Is 29722 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 29722?
29722 is a Harshad number: divisible by its digit sum 22.