The number 48401
48401 is a composite number with 4 divisors. Its prime factorisation is 29 × 1669. Divisors (4): 1, 29, 1669, 48401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48401: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1669, the product of two primes.
- 2
48401 is composite. Its prime factorisation is
- 3
The divisors add up to 50100; without 48401 itself that is 1699, so 48401 is deficient (1699 is less than 48401). Euler's totient φ(48401) = 46704 numbers up to 48401 share no factor with it.
- 4
The digits of 48401 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48401 = 29 \times 1669 \]
48401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50100 |
| Euler totient φ(n) | 46704 |
| Square | 2342656801 |
| Cube | 113386931825201 |
| Square root | 220.002273 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8401 × |
48401 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and one |
| Binary (base 2) | 1011110100010001 |
| Octal (base 8) | 136421 |
| Hexadecimal (base 16) | BD11 |
| Base 3 | 2110101122 |
| As time | 48401 seconds = 13 h 26 min 41 s |
Is 48401 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48401 a prime number?
No. 48401 = 29 × 1669, so it is divisible by 29.
What are the factors of 48401?
1, 29, 1669, 48401.
What is 48401 in binary?
1011110100010001 (hexadecimal BD11, octal 136421).
What is the square root of 48401?
About 220.0023.
Is 48401 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 48401?
48401 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1669, the product of two primes.