The number 48472
48472 is a composite number with 16 divisors. Its prime factorisation is × 73 × 83. Divisors (16): 1, 2, 4, 8, 73, 83, 146, 166, 292, 332, 584, 664, 6059, 12118, 24236, 48472.
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How to work it out
- 1
48472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48472 is composite. Its prime factorisation is
- 3
The divisors add up to 93240; without 48472 itself that is 44768, so 48472 is deficient (44768 is less than 48472). Euler's totient φ(48472) = 23616 numbers up to 48472 share no factor with it.
- 4
The digits of 48472 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48472 = 2^{3} \times 73 \times 83 \]48472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93240 |
| Euler totient φ(n) | 23616 |
| Square | 2349534784 |
| Cube | 113886650050048 |
| Square root | 220.163576 (= 2√12118) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8472 × |
48472 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and seventy-two |
| Binary (base 2) | 1011110101011000 |
| Octal (base 8) | 136530 |
| Hexadecimal (base 16) | BD58 |
| Base 3 | 2110111021 |
| As time | 48472 seconds = 13 h 27 min 52 s |
Is 48472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48472 ÷ 2 = 24236) | 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 (48472 ÷ 4 = 12118) | 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 4) | 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 (48472 ÷ 8 = 6059) | 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 6) | 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 48472 a prime number?
No. 48472 = × 73 × 83, so it is divisible by 2.
What are the factors of 48472?
1, 2, 4, 8, 73, 83, 146, 166, 292, 332, 584, 664, 6059, 12118, 24236, 48472.
What is 48472 in binary?
1011110101011000 (hexadecimal BD58, octal 136530).
What is the square root of 48472?
About 220.1636, exactly 2√12118.
Is 48472 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48472?
It is a composite number with 16 divisors.