The number 29140
29140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 31 × 47. Divisors (24): 1, 2, 4, 5, 10, 20, 31, 47, 62, 94, 124, 155, 188, 235, 310, 470 … 29140.
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How to work it out
- 1
29140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29140 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 29140 itself that is 35372, so 29140 is abundant (35372 is more than 29140). Euler's totient φ(29140) = 11040 numbers up to 29140 share no factor with it.
- 4
The digits of 29140 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29140 = 2^{2} \times 5 \times 31 \times 47 \]29140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 11040 |
| Square | 849139600 |
| Cube | 24743927944000 |
| Square root | 170.704423 (= 2√7285) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.914 × |
29140 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and forty |
| Binary (base 2) | 111000111010100 |
| Octal (base 8) | 70724 |
| Hexadecimal (base 16) | 71D4 |
| Base 3 | 1110222021 |
| As time | 29140 seconds = 8 h 5 min 40 s |
Is 29140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29140 ÷ 2 = 14570) | 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 | Yes (29140 ÷ 4 = 7285) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29140 ÷ 5 = 5828) | 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 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29140 ÷ 10 = 2914) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29140 a prime number?
No. 29140 = × 5 × 31 × 47, so it is divisible by 2.
What are the factors of 29140?
1, 2, 4, 5, 10, 20, 31, 47, 62, 94, 124, 155, 188, 235, 310, 470, 620, 940, 1457, 2914, 5828, 7285, 14570, 29140.
What is 29140 in binary?
111000111010100 (hexadecimal 71D4, octal 70724).
What is the square root of 29140?
About 170.7044, exactly 2√7285.
Is 29140 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 29140?
It is a composite number with 24 divisors.