The number 29720
29720 is a composite number with 16 divisors. Its prime factorisation is × 5 × 743. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 743, 1486, 2972, 3715, 5944, 7430, 14860, 29720.
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How to work it out
- 1
What is special about 29720: a Harshad number: divisible by its digit sum 20.
- 2
29720 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 29720 itself that is 37240, so 29720 is abundant (37240 is more than 29720). Euler's totient φ(29720) = 11872 numbers up to 29720 share no factor with it.
- 4
The digits of 29720 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29720 = 2^{3} \times 5 \times 743 \]29720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 11872 |
| Square | 883278400 |
| Cube | 26251034048000 |
| Square root | 172.394896 (= 2√7430) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 2.972 × |
29720 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and twenty |
| Binary (base 2) | 111010000011000 |
| Octal (base 8) | 72030 |
| Hexadecimal (base 16) | 7418 |
| Base 3 | 1111202202 |
| As time | 29720 seconds = 8 h 15 min 20 s |
Is 29720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29720 ÷ 2 = 14860) | 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 (29720 ÷ 4 = 7430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29720 ÷ 5 = 5944) | 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 | No (remainder 5) | 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 | Yes (29720 ÷ 8 = 3715) | 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 | Yes (29720 ÷ 10 = 2972) | 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 29720 a prime number?
No. 29720 = × 5 × 743, so it is divisible by 2.
What are the factors of 29720?
1, 2, 4, 5, 8, 10, 20, 40, 743, 1486, 2972, 3715, 5944, 7430, 14860, 29720.
What is 29720 in binary?
111010000011000 (hexadecimal 7418, octal 72030).
What is the square root of 29720?
About 172.3949, exactly 2√7430.
Is 29720 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 29720?
29720 is a Harshad number: divisible by its digit sum 20.