The number 10401
10401 is a palindrome: it reads 10401 backwards too. Its prime factorisation is 3 × 3467. Divisors (4): 1, 3, 3467, 10401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10401: a palindrome: it reads 10401 backwards too; a semiprime: 3 × 3467, the product of two primes.
- 2
10401 is composite. Its prime factorisation is
- 3
The divisors add up to 13872; without 10401 itself that is 3471, so 10401 is deficient (3471 is less than 10401). Euler's totient φ(10401) = 6932 numbers up to 10401 share no factor with it.
- 4
The digits of 10401 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10401 = 3 \times 3467 \]
10401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13872 |
| Euler totient φ(n) | 6932 |
| Square | 108180801 |
| Cube | 1125188511201 |
| Square root | 101.985293 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0401 × |
10401 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and one |
| Binary (base 2) | 10100010100001 |
| Octal (base 8) | 24241 |
| Hexadecimal (base 16) | 28A1 |
| Base 3 | 112021020 |
| As time | 10401 seconds = 2 h 53 min 21 s |
Is 10401 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 | Yes (10401 ÷ 3 = 3467) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10401 a prime number?
No. 10401 = 3 × 3467, so it is divisible by 3.
What are the factors of 10401?
1, 3, 3467, 10401.
What is 10401 in binary?
10100010100001 (hexadecimal 28A1, octal 24241).
What is the square root of 10401?
About 101.9853.
Is 10401 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 10401?
10401 is a palindrome: it reads 10401 backwards too; a semiprime: 3 × 3467, the product of two primes.