The number 29360
29360 is a composite number with 20 divisors. Its prime factorisation is × 5 × 367. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 367, 734, 1468, 1835, 2936, 3670 … 29360.
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How to work it out
- 1
What is special about 29360: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.
- 2
29360 is composite. Its prime factorisation is
- 3
The divisors add up to 68448; without 29360 itself that is 39088, so 29360 is abundant (39088 is more than 29360). Euler's totient φ(29360) = 11712 numbers up to 29360 share no factor with it.
- 4
The digits of 29360 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 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29360 = 2^{4} \times 5 \times 367 \]29360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 68448 |
| Euler totient φ(n) | 11712 |
| Square | 862009600 |
| Cube | 25308601856000 |
| Square root | 171.347600 (= 4√1835) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.936 × |
29360 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand three hundred and sixty |
| Binary (base 2) | 111001010110000 |
| Octal (base 8) | 71260 |
| Hexadecimal (base 16) | 72B0 |
| Base 3 | 1111021102 |
| As time | 29360 seconds = 8 h 9 min 20 s |
Is 29360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29360 ÷ 2 = 14680) | 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 (29360 ÷ 4 = 7340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29360 ÷ 5 = 5872) | 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 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 | Yes (29360 ÷ 8 = 3670) | 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 (29360 ÷ 10 = 2936) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 29360 a prime number?
No. 29360 = × 5 × 367, so it is divisible by 2.
What are the factors of 29360?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 367, 734, 1468, 1835, 2936, 3670, 5872, 7340, 14680, 29360.
What is 29360 in binary?
111001010110000 (hexadecimal 72B0, octal 71260).
What is the square root of 29360?
About 171.3476, exactly 4√1835.
Is 29360 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 29360?
29360 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.