The number 48372
48372 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 139. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 139, 174, 278, 348, 417, 556 … 48372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48372 is composite. Its prime factorisation is
- 3
The divisors add up to 117600; without 48372 itself that is 69228, so 48372 is abundant (69228 is more than 48372). Euler's totient φ(48372) = 15456 numbers up to 48372 share no factor with it.
- 4
The digits of 48372 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48372 = 2^{2} \times 3 \times 29 \times 139 \]48372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117600 |
| Euler totient φ(n) | 15456 |
| Square | 2339850384 |
| Cube | 113183242774848 |
| Square root | 219.936354 (= 2√12093) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8372 × |
48372 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and seventy-two |
| Binary (base 2) | 1011110011110100 |
| Octal (base 8) | 136364 |
| Hexadecimal (base 16) | BCF4 |
| Base 3 | 2110100120 |
| As time | 48372 seconds = 13 h 26 min 12 s |
Is 48372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48372 ÷ 2 = 24186) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48372 ÷ 3 = 16124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48372 ÷ 4 = 12093) | 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 | Yes (48372 ÷ 6 = 8062) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48372 ÷ 12 = 4031) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48372 a prime number?
No. 48372 = × 3 × 29 × 139, so it is divisible by 2.
What are the factors of 48372?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 139, 174, 278, 348, 417, 556, 834, 1668, 4031, 8062, 12093, 16124, 24186, 48372.
What is 48372 in binary?
1011110011110100 (hexadecimal BCF4, octal 136364).
What is the square root of 48372?
About 219.9364, exactly 2√12093.
Is 48372 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48372?
It is a composite number with 24 divisors.