The number 48402
48402 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2689. Divisors (12): 1, 2, 3, 6, 9, 18, 2689, 5378, 8067, 16134, 24201, 48402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48402: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
48402 is composite. Its prime factorisation is
- 3
The divisors add up to 104910; without 48402 itself that is 56508, so 48402 is abundant (56508 is more than 48402). Euler's totient φ(48402) = 16128 numbers up to 48402 share no factor with it.
- 4
The digits of 48402 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48402 = 2 \times 3^{2} \times 2689 \]48402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104910 |
| Euler totient φ(n) | 16128 |
| Square | 2342753604 |
| Cube | 113393959940808 |
| Square root | 220.004545 (= 3√5378) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8402 × |
48402 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and two |
| Binary (base 2) | 1011110100010010 |
| Octal (base 8) | 136422 |
| Hexadecimal (base 16) | BD12 |
| Base 3 | 2110101200 |
| As time | 48402 seconds = 13 h 26 min 42 s |
Is 48402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48402 ÷ 2 = 24201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48402 ÷ 3 = 16134) | 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 | Yes (48402 ÷ 6 = 8067) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (48402 ÷ 9 = 5378) | 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 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 48402 a prime number?
No. 48402 = 2 × × 2689, so it is divisible by 2.
What are the factors of 48402?
1, 2, 3, 6, 9, 18, 2689, 5378, 8067, 16134, 24201, 48402.
What is 48402 in binary?
1011110100010010 (hexadecimal BD12, octal 136422).
What is the square root of 48402?
About 220.0045, exactly 3√5378.
Is 48402 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48402?
48402 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.