The number 48930
48930 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 233. Divisors (32): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210 … 48930.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48930 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48930 is composite. Its prime factorisation is
- 3
The divisors add up to 134784; without 48930 itself that is 85854, so 48930 is abundant (85854 is more than 48930). Euler's totient φ(48930) = 11136 numbers up to 48930 share no factor with it.
- 4
The digits of 48930 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48930 = 2 \times 3 \times 5 \times 7 \times 233 \]
48930 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 134784 |
| Euler totient φ(n) | 11136 |
| Square | 2394144900 |
| Cube | 117145509957000 |
| Square root | 221.201266 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.893 × |
48930 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and thirty |
| Binary (base 2) | 1011111100100010 |
| Octal (base 8) | 137442 |
| Hexadecimal (base 16) | BF22 |
| Base 3 | 2111010020 |
| As time | 48930 seconds = 13 h 35 min 30 s |
Is 48930 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48930 ÷ 2 = 24465) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48930 ÷ 3 = 16310) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48930 ÷ 5 = 9786) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48930 ÷ 6 = 8155) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48930 ÷ 7 = 6990) | 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 2) | 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 | Yes (48930 ÷ 10 = 4893) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48930 a prime number?
No. 48930 = 2 × 3 × 5 × 7 × 233, so it is divisible by 2.
What are the factors of 48930?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 233, 466, 699, 1165, 1398, 1631, 2330, 3262, 3495, 4893, 6990, 8155, 9786, 16310, 24465, 48930.
What is 48930 in binary?
1011111100100010 (hexadecimal BF22, octal 137442).
What is the square root of 48930?
About 221.2013.
Is 48930 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48930?
It is a composite number with 32 divisors.