The number 29480
29480 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 67. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 67, 88, 110, 134 … 29480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29480 is composite. Its prime factorisation is
- 3
The divisors add up to 73440; without 29480 itself that is 43960, so 29480 is abundant (43960 is more than 29480). Euler's totient φ(29480) = 10560 numbers up to 29480 share no factor with it.
- 4
The digits of 29480 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29480 = 2^{3} \times 5 \times 11 \times 67 \]29480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 73440 |
| Euler totient φ(n) | 10560 |
| Square | 869070400 |
| Cube | 25620195392000 |
| Square root | 171.697408 (= 2√7370) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.948 × |
29480 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and eighty |
| Binary (base 2) | 111001100101000 |
| Octal (base 8) | 71450 |
| Hexadecimal (base 16) | 7328 |
| Base 3 | 1111102212 |
| As time | 29480 seconds = 8 h 11 min 20 s |
Is 29480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29480 ÷ 2 = 14740) | 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 (29480 ÷ 4 = 7370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29480 ÷ 5 = 5896) | 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 3) | 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 (29480 ÷ 8 = 3685) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29480 ÷ 10 = 2948) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29480 ÷ 11 = 2680) | 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 29480 a prime number?
No. 29480 = × 5 × 11 × 67, so it is divisible by 2.
What are the factors of 29480?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 67, 88, 110, 134, 220, 268, 335, 440, 536, 670, 737, 1340, 1474, 2680, 2948, 3685, 5896, 7370, 14740, 29480.
What is 29480 in binary?
111001100101000 (hexadecimal 7328, octal 71450).
What is the square root of 29480?
About 171.6974, exactly 2√7370.
Is 29480 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 29480?
It is a composite number with 32 divisors.