The number 72046
72046 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 17 × 163. Divisors (16): 1, 2, 13, 17, 26, 34, 163, 221, 326, 442, 2119, 2771, 4238, 5542, 36023, 72046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72046 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72046 is composite. Its prime factorisation is
- 3
The divisors add up to 123984; without 72046 itself that is 51938, so 72046 is deficient (51938 is less than 72046). Euler's totient φ(72046) = 31104 numbers up to 72046 share no factor with it.
- 4
The digits of 72046 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72046 = 2 \times 13 \times 17 \times 163 \]
72046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123984 |
| Euler totient φ(n) | 31104 |
| Square | 5190626116 |
| Cube | 373963849153336 |
| Square root | 268.413860 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2046 × |
72046 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and forty-six |
| Binary (base 2) | 10001100101101110 |
| Octal (base 8) | 214556 |
| Hexadecimal (base 16) | 1196E |
| Base 3 | 10122211101 |
| As time | 72046 seconds = 20 h 0 min 46 s |
Is 72046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72046 ÷ 2 = 36023) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72046 a prime number?
No. 72046 = 2 × 13 × 17 × 163, so it is divisible by 2.
What are the factors of 72046?
1, 2, 13, 17, 26, 34, 163, 221, 326, 442, 2119, 2771, 4238, 5542, 36023, 72046.
What is 72046 in binary?
10001100101101110 (hexadecimal 1196E, octal 214556).
What is the square root of 72046?
About 268.4139.
Is 72046 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72046?
It is a composite number with 16 divisors.