The number 46472
46472 is a composite number with 16 divisors. Its prime factorisation is × 37 × 157. Divisors (16): 1, 2, 4, 8, 37, 74, 148, 157, 296, 314, 628, 1256, 5809, 11618, 23236, 46472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46472 is composite. Its prime factorisation is
- 3
The divisors add up to 90060; without 46472 itself that is 43588, so 46472 is deficient (43588 is less than 46472). Euler's totient φ(46472) = 22464 numbers up to 46472 share no factor with it.
- 4
The digits of 46472 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46472 = 2^{3} \times 37 \times 157 \]46472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90060 |
| Euler totient φ(n) | 22464 |
| Square | 2159646784 |
| Cube | 100363105346048 |
| Square root | 215.573653 (= 2√11618) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6472 × |
46472 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and seventy-two |
| Binary (base 2) | 1011010110001000 |
| Octal (base 8) | 132610 |
| Hexadecimal (base 16) | B588 |
| Base 3 | 2100202012 |
| As time | 46472 seconds = 12 h 54 min 32 s |
Is 46472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46472 ÷ 2 = 23236) | 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 (46472 ÷ 4 = 11618) | 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 6) | 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 (46472 ÷ 8 = 5809) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | 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 46472 a prime number?
No. 46472 = × 37 × 157, so it is divisible by 2.
What are the factors of 46472?
1, 2, 4, 8, 37, 74, 148, 157, 296, 314, 628, 1256, 5809, 11618, 23236, 46472.
What is 46472 in binary?
1011010110001000 (hexadecimal B588, octal 132610).
What is the square root of 46472?
About 215.5737, exactly 2√11618.
Is 46472 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46472?
It is a composite number with 16 divisors.