The number 29172
29172 is a composite number with 48 divisors. Its prime factorisation is × 3 × 11 × 13 × 17. Divisors (48): 1, 2, 3, 4, 6, 11, 12, 13, 17, 22, 26, 33, 34, 39, 44, 51 … 29172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29172: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29172 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 29172 itself that is 55500, so 29172 is abundant (55500 is more than 29172). Euler's totient φ(29172) = 7680 numbers up to 29172 share no factor with it.
- 4
The digits of 29172 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29172 = 2^{2} \times 3 \times 11 \times 13 \times 17 \]29172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 7680 |
| Square | 851005584 |
| Cube | 24825534896448 |
| Square root | 170.798126 (= 2√7293) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9172 × |
29172 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand one hundred and seventy-two |
| Binary (base 2) | 111000111110100 |
| Octal (base 8) | 70764 |
| Hexadecimal (base 16) | 71F4 |
| Base 3 | 1111000110 |
| As time | 29172 seconds = 8 h 6 min 12 s |
Is 29172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29172 ÷ 2 = 14586) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29172 ÷ 3 = 9724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29172 ÷ 4 = 7293) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29172 ÷ 6 = 4862) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29172 ÷ 11 = 2652) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29172 ÷ 12 = 2431) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29172 a prime number?
No. 29172 = × 3 × 11 × 13 × 17, so it is divisible by 2.
What are the factors of 29172?
1, 2, 3, 4, 6, 11, 12, 13, 17, 22, 26, 33, 34, 39, 44, 51, 52, 66, 68, 78, 102, 132, 143, 156, 187, 204, 221, 286, 374, 429, 442, 561, 572, 663, 748, 858, 884, 1122, 1326, 1716, 2244, 2431, 2652, 4862, 7293, 9724, 14586, 29172.
What is 29172 in binary?
111000111110100 (hexadecimal 71F4, octal 70764).
What is the square root of 29172?
About 170.7981, exactly 2√7293.
Is 29172 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29172?
29172 is a happy number: repeatedly adding the squares of its digits reaches 1.