The number 48918
48918 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 263. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 186, 263, 526, 789, 1578, 8153, 16306, 24459, 48918.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48918: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48918 is composite. Its prime factorisation is
- 3
The divisors add up to 101376; without 48918 itself that is 52458, so 48918 is abundant (52458 is more than 48918). Euler's totient φ(48918) = 15720 numbers up to 48918 share no factor with it.
- 4
The digits of 48918 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48918 = 2 \times 3 \times 31 \times 263 \]
48918 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101376 |
| Euler totient φ(n) | 15720 |
| Square | 2392970724 |
| Cube | 117059341876632 |
| Square root | 221.174140 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8918 × |
48918 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and eighteen |
| Binary (base 2) | 1011111100010110 |
| Octal (base 8) | 137426 |
| Hexadecimal (base 16) | BF16 |
| Base 3 | 2111002210 |
| As time | 48918 seconds = 13 h 35 min 18 s |
Is 48918 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48918 ÷ 2 = 24459) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48918 ÷ 3 = 16306) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48918 ÷ 6 = 8153) | 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 6) | 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 1) | 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 48918 a prime number?
No. 48918 = 2 × 3 × 31 × 263, so it is divisible by 2.
What are the factors of 48918?
1, 2, 3, 6, 31, 62, 93, 186, 263, 526, 789, 1578, 8153, 16306, 24459, 48918.
What is 48918 in binary?
1011111100010110 (hexadecimal BF16, octal 137426).
What is the square root of 48918?
About 221.1741.
Is 48918 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 48918?
48918 is a happy number: repeatedly adding the squares of its digits reaches 1.