The number 46072
46072 is a composite number with 16 divisors. Its prime factorisation is × 13 × 443. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 443, 886, 1772, 3544, 5759, 11518, 23036, 46072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46072 is composite. Its prime factorisation is
- 3
The divisors add up to 93240; without 46072 itself that is 47168, so 46072 is abundant (47168 is more than 46072). Euler's totient φ(46072) = 21216 numbers up to 46072 share no factor with it.
- 4
The digits of 46072 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46072 = 2^{3} \times 13 \times 443 \]46072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93240 |
| Euler totient φ(n) | 21216 |
| Square | 2122629184 |
| Cube | 97793771765248 |
| Square root | 214.643891 (= 2√11518) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6072 × |
46072 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and seventy-two |
| Binary (base 2) | 1011001111111000 |
| Octal (base 8) | 131770 |
| Hexadecimal (base 16) | B3F8 |
| Base 3 | 2100012101 |
| As time | 46072 seconds = 12 h 47 min 52 s |
Is 46072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46072 ÷ 2 = 23036) | 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 (46072 ÷ 4 = 11518) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (46072 ÷ 8 = 5759) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 46072 a prime number?
No. 46072 = × 13 × 443, so it is divisible by 2.
What are the factors of 46072?
1, 2, 4, 8, 13, 26, 52, 104, 443, 886, 1772, 3544, 5759, 11518, 23036, 46072.
What is 46072 in binary?
1011001111111000 (hexadecimal B3F8, octal 131770).
What is the square root of 46072?
About 214.6439, exactly 2√11518.
Is 46072 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 46072?
It is a composite number with 16 divisors.