The number 46672
46672 is a composite number with 10 divisors. Its prime factorisation is × 2917. Divisors (10): 1, 2, 4, 8, 16, 2917, 5834, 11668, 23336, 46672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46672 is composite. Its prime factorisation is
- 3
The divisors add up to 90458; without 46672 itself that is 43786, so 46672 is deficient (43786 is less than 46672). Euler's totient φ(46672) = 23328 numbers up to 46672 share no factor with it.
- 4
The digits of 46672 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46672 = 2^{4} \times 2917 \]46672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 90458 |
| Euler totient φ(n) | 23328 |
| Square | 2178275584 |
| Cube | 101664478056448 |
| Square root | 216.037034 (= 4√2917) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6672 × |
46672 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and seventy-two |
| Binary (base 2) | 1011011001010000 |
| Octal (base 8) | 133120 |
| Hexadecimal (base 16) | B650 |
| Base 3 | 2101000121 |
| As time | 46672 seconds = 12 h 57 min 52 s |
Is 46672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46672 ÷ 2 = 23336) | 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 (46672 ÷ 4 = 11668) | 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 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 | Yes (46672 ÷ 8 = 5834) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46672 a prime number?
No. 46672 = × 2917, so it is divisible by 2.
What are the factors of 46672?
1, 2, 4, 8, 16, 2917, 5834, 11668, 23336, 46672.
What is 46672 in binary?
1011011001010000 (hexadecimal B650, octal 133120).
What is the square root of 46672?
About 216.0370, exactly 4√2917.
Is 46672 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46672?
It is a composite number with 10 divisors.