The number 29960
29960 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 107. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 107, 140 … 29960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29960 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 29960 itself that is 47800, so 29960 is abundant (47800 is more than 29960). Euler's totient φ(29960) = 10176 numbers up to 29960 share no factor with it.
- 4
The digits of 29960 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29960 = 2^{3} \times 5 \times 7 \times 107 \]29960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 10176 |
| Square | 897601600 |
| Cube | 26892143936000 |
| Square root | 173.089572 (= 2√7490) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.996 × |
29960 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and sixty |
| Binary (base 2) | 111010100001000 |
| Octal (base 8) | 72410 |
| Hexadecimal (base 16) | 7508 |
| Base 3 | 1112002122 |
| As time | 29960 seconds = 8 h 19 min 20 s |
Is 29960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29960 ÷ 2 = 14980) | 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 (29960 ÷ 4 = 7490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29960 ÷ 5 = 5992) | 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 (29960 ÷ 7 = 4280) | 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 (29960 ÷ 8 = 3745) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29960 ÷ 10 = 2996) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 29960 a prime number?
No. 29960 = × 5 × 7 × 107, so it is divisible by 2.
What are the factors of 29960?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 107, 140, 214, 280, 428, 535, 749, 856, 1070, 1498, 2140, 2996, 3745, 4280, 5992, 7490, 14980, 29960.
What is 29960 in binary?
111010100001000 (hexadecimal 7508, octal 72410).
What is the square root of 29960?
About 173.0896, exactly 2√7490.
Is 29960 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 29960?
It is a composite number with 32 divisors.