The number 48468
48468 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 577. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 577, 1154, 1731, 2308 … 48468.
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How to work it out
- 1
48468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48468 is composite. Its prime factorisation is
- 3
The divisors add up to 129472; without 48468 itself that is 81004, so 48468 is abundant (81004 is more than 48468). Euler's totient φ(48468) = 13824 numbers up to 48468 share no factor with it.
- 4
The digits of 48468 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48468 = 2^{2} \times 3 \times 7 \times 577 \]48468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129472 |
| Euler totient φ(n) | 13824 |
| Square | 2349147024 |
| Cube | 113858457959232 |
| Square root | 220.154491 (= 2√12117) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8468 × |
48468 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and sixty-eight |
| Binary (base 2) | 1011110101010100 |
| Octal (base 8) | 136524 |
| Hexadecimal (base 16) | BD54 |
| Base 3 | 2110111010 |
| As time | 48468 seconds = 13 h 27 min 48 s |
Is 48468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48468 ÷ 2 = 24234) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48468 ÷ 3 = 16156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48468 ÷ 4 = 12117) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48468 ÷ 6 = 8078) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48468 ÷ 7 = 6924) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48468 ÷ 12 = 4039) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48468 a prime number?
No. 48468 = × 3 × 7 × 577, so it is divisible by 2.
What are the factors of 48468?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 577, 1154, 1731, 2308, 3462, 4039, 6924, 8078, 12117, 16156, 24234, 48468.
What is 48468 in binary?
1011110101010100 (hexadecimal BD54, octal 136524).
What is the square root of 48468?
About 220.1545, exactly 2√12117.
Is 48468 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48468?
It is a composite number with 24 divisors.