The number 47372
47372 is a composite number with 12 divisors. Its prime factorisation is × 13 × 911. Divisors (12): 1, 2, 4, 13, 26, 52, 911, 1822, 3644, 11843, 23686, 47372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47372 is composite. Its prime factorisation is
- 3
The divisors add up to 89376; without 47372 itself that is 42004, so 47372 is deficient (42004 is less than 47372). Euler's totient φ(47372) = 21840 numbers up to 47372 share no factor with it.
- 4
The digits of 47372 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47372 = 2^{2} \times 13 \times 911 \]47372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89376 |
| Euler totient φ(n) | 21840 |
| Square | 2244106384 |
| Cube | 106307807622848 |
| Square root | 217.651097 (= 2√11843) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.7372 × |
47372 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and seventy-two |
| Binary (base 2) | 1011100100001100 |
| Octal (base 8) | 134414 |
| Hexadecimal (base 16) | B90C |
| Base 3 | 2101222112 |
| As time | 47372 seconds = 13 h 9 min 32 s |
Is 47372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47372 ÷ 2 = 23686) | 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 (47372 ÷ 4 = 11843) | 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 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 | No (remainder 4) | 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 6) | 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 47372 a prime number?
No. 47372 = × 13 × 911, so it is divisible by 2.
What are the factors of 47372?
1, 2, 4, 13, 26, 52, 911, 1822, 3644, 11843, 23686, 47372.
What is 47372 in binary?
1011100100001100 (hexadecimal B90C, octal 134414).
What is the square root of 47372?
About 217.6511, exactly 2√11843.
Is 47372 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47372?
It is a composite number with 12 divisors.