The number 29124
29124 is a composite number with 18 divisors. Its prime factorisation is × × 809. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 809, 1618, 2427, 3236, 4854, 7281, 9708 … 29124.
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How to work it out
- 1
What is special about 29124: a Harshad number: divisible by its digit sum 18.
- 2
29124 is composite. Its prime factorisation is
- 3
The divisors add up to 73710; without 29124 itself that is 44586, so 29124 is abundant (44586 is more than 29124). Euler's totient φ(29124) = 9696 numbers up to 29124 share no factor with it.
- 4
The digits of 29124 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29124 = 2^{2} \times 3^{2} \times 809 \]29124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 73710 |
| Euler totient φ(n) | 9696 |
| Square | 848207376 |
| Cube | 24703191618624 |
| Square root | 170.657552 (= 6√809) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 20 |
| Scientific notation | 2.9124 × |
29124 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and twenty-four |
| Binary (base 2) | 111000111000100 |
| Octal (base 8) | 70704 |
| Hexadecimal (base 16) | 71C4 |
| Base 3 | 1110221200 |
| As time | 29124 seconds = 8 h 5 min 24 s |
Is 29124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29124 ÷ 2 = 14562) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29124 ÷ 3 = 9708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29124 ÷ 4 = 7281) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29124 ÷ 6 = 4854) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (29124 ÷ 9 = 3236) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (29124 ÷ 12 = 2427) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29124 a prime number?
No. 29124 = × × 809, so it is divisible by 2.
What are the factors of 29124?
1, 2, 3, 4, 6, 9, 12, 18, 36, 809, 1618, 2427, 3236, 4854, 7281, 9708, 14562, 29124.
What is 29124 in binary?
111000111000100 (hexadecimal 71C4, octal 70704).
What is the square root of 29124?
About 170.6576, exactly 6√809.
Is 29124 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29124?
29124 is a Harshad number: divisible by its digit sum 18.