The number 29072
29072 is a composite number with 20 divisors. Its prime factorisation is × 23 × 79. Divisors (20): 1, 2, 4, 8, 16, 23, 46, 79, 92, 158, 184, 316, 368, 632, 1264, 1817 … 29072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29072 is composite. Its prime factorisation is
- 3
The divisors add up to 59520; without 29072 itself that is 30448, so 29072 is abundant (30448 is more than 29072). Euler's totient φ(29072) = 13728 numbers up to 29072 share no factor with it.
- 4
The digits of 29072 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29072 = 2^{4} \times 23 \times 79 \]29072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 59520 |
| Euler totient φ(n) | 13728 |
| Square | 845181184 |
| Cube | 24571107381248 |
| Square root | 170.505132 (= 4√1817) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9072 × |
29072 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and seventy-two |
| Binary (base 2) | 111000110010000 |
| Octal (base 8) | 70620 |
| Hexadecimal (base 16) | 7190 |
| Base 3 | 1110212202 |
| As time | 29072 seconds = 8 h 4 min 32 s |
Is 29072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29072 ÷ 2 = 14536) | 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 (29072 ÷ 4 = 7268) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (29072 ÷ 8 = 3634) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 10) | 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 29072 a prime number?
No. 29072 = × 23 × 79, so it is divisible by 2.
What are the factors of 29072?
1, 2, 4, 8, 16, 23, 46, 79, 92, 158, 184, 316, 368, 632, 1264, 1817, 3634, 7268, 14536, 29072.
What is 29072 in binary?
111000110010000 (hexadecimal 7190, octal 70620).
What is the square root of 29072?
About 170.5051, exactly 4√1817.
Is 29072 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 29072?
It is a composite number with 20 divisors.