The number 30401
30401 is a composite number with 8 divisors. Its prime factorisation is 7 × 43 × 101. Divisors (8): 1, 7, 43, 101, 301, 707, 4343, 30401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30401 is composite. Its prime factorisation is
- 3
The divisors add up to 35904; without 30401 itself that is 5503, so 30401 is deficient (5503 is less than 30401). Euler's totient φ(30401) = 25200 numbers up to 30401 share no factor with it.
- 4
The digits of 30401 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30401 = 7 \times 43 \times 101 \]
30401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 35904 |
| Euler totient φ(n) | 25200 |
| Square | 924220801 |
| Cube | 28097236571201 |
| Square root | 174.358825 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.0401 × |
30401 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand four hundred and one |
| Binary (base 2) | 111011011000001 |
| Octal (base 8) | 73301 |
| Hexadecimal (base 16) | 76C1 |
| Base 3 | 1112200222 |
| As time | 30401 seconds = 8 h 26 min 41 s |
Is 30401 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 | Yes (30401 ÷ 7 = 4343) | 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 8) | 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 30401 a prime number?
No. 30401 = 7 × 43 × 101, so it is divisible by 7.
What are the factors of 30401?
1, 7, 43, 101, 301, 707, 4343, 30401.
What is 30401 in binary?
111011011000001 (hexadecimal 76C1, octal 73301).
What is the square root of 30401?
About 174.3588.
Is 30401 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 30401?
It is a composite number with 8 divisors.