The number 48700
48700 is a composite number with 18 divisors. Its prime factorisation is × × 487. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 487, 974, 1948, 2435, 4870, 9740, 12175 … 48700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48700: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48700 is composite. Its prime factorisation is
- 3
The divisors add up to 105896; without 48700 itself that is 57196, so 48700 is abundant (57196 is more than 48700). Euler's totient φ(48700) = 19440 numbers up to 48700 share no factor with it.
- 4
The digits of 48700 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48700 = 2^{2} \times 5^{2} \times 487 \]48700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 105896 |
| Euler totient φ(n) | 19440 |
| Square | 2371690000 |
| Cube | 115501303000000 |
| Square root | 220.680765 (= 10√487) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.87 × |
48700 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred |
| Binary (base 2) | 1011111000111100 |
| Octal (base 8) | 137074 |
| Hexadecimal (base 16) | BE3C |
| Base 3 | 2110210201 |
| As time | 48700 seconds = 13 h 31 min 40 s |
Is 48700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48700 ÷ 2 = 24350) | 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 | Yes (48700 ÷ 4 = 12175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48700 ÷ 5 = 9740) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48700 ÷ 10 = 4870) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48700 a prime number?
No. 48700 = × × 487, so it is divisible by 2.
What are the factors of 48700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 487, 974, 1948, 2435, 4870, 9740, 12175, 24350, 48700.
What is 48700 in binary?
1011111000111100 (hexadecimal BE3C, octal 137074).
What is the square root of 48700?
About 220.6808, exactly 10√487.
Is 48700 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 48700?
48700 is a happy number: repeatedly adding the squares of its digits reaches 1.