The number 11401
11401 is a composite number with 4 divisors. Its prime factorisation is 13 × 877. Divisors (4): 1, 13, 877, 11401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11401: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 877, the product of two primes.
- 2
11401 is composite. Its prime factorisation is
- 3
The divisors add up to 12292; without 11401 itself that is 891, so 11401 is deficient (891 is less than 11401). Euler's totient φ(11401) = 10512 numbers up to 11401 share no factor with it.
- 4
The digits of 11401 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11401 = 13 \times 877 \]
11401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12292 |
| Euler totient φ(n) | 10512 |
| Square | 129982801 |
| Cube | 1481933914201 |
| Square root | 106.775465 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1401 × |
11401 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and one |
| Binary (base 2) | 10110010001001 |
| Octal (base 8) | 26211 |
| Hexadecimal (base 16) | 2C89 |
| Base 3 | 120122021 |
| As time | 11401 seconds = 3 h 10 min 1 s |
Is 11401 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11401 a prime number?
No. 11401 = 13 × 877, so it is divisible by 13.
What are the factors of 11401?
1, 13, 877, 11401.
What is 11401 in binary?
10110010001001 (hexadecimal 2C89, octal 26211).
What is the square root of 11401?
About 106.7755.
Is 11401 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 11401?
11401 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 877, the product of two primes.