The number 48802
48802 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1877. Divisors (8): 1, 2, 13, 26, 1877, 3754, 24401, 48802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48802 is composite. Its prime factorisation is
- 3
The divisors add up to 78876; without 48802 itself that is 30074, so 48802 is deficient (30074 is less than 48802). Euler's totient φ(48802) = 22512 numbers up to 48802 share no factor with it.
- 4
The digits of 48802 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48802 = 2 \times 13 \times 1877 \]
48802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78876 |
| Euler totient φ(n) | 22512 |
| Square | 2381635204 |
| Cube | 116228561225608 |
| Square root | 220.911747 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8802 × |
48802 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and two |
| Binary (base 2) | 1011111010100010 |
| Octal (base 8) | 137242 |
| Hexadecimal (base 16) | BEA2 |
| Base 3 | 2110221111 |
| As time | 48802 seconds = 13 h 33 min 22 s |
Is 48802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48802 ÷ 2 = 24401) | 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 | No (remainder 2) | 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 5) | 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 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48802 a prime number?
No. 48802 = 2 × 13 × 1877, so it is divisible by 2.
What are the factors of 48802?
1, 2, 13, 26, 1877, 3754, 24401, 48802.
What is 48802 in binary?
1011111010100010 (hexadecimal BEA2, octal 137242).
What is the square root of 48802?
About 220.9117.
Is 48802 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48802?
It is a composite number with 8 divisors.