The number 11407
11407 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 61. Divisors (8): 1, 11, 17, 61, 187, 671, 1037, 11407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11407 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11407 is composite. Its prime factorisation is
- 3
The divisors add up to 13392; without 11407 itself that is 1985, so 11407 is deficient (1985 is less than 11407). Euler's totient φ(11407) = 9600 numbers up to 11407 share no factor with it.
- 4
The digits of 11407 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11407 = 11 \times 17 \times 61 \]
11407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13392 |
| Euler totient φ(n) | 9600 |
| Square | 130119649 |
| Cube | 1484274836143 |
| Square root | 106.803558 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.1407 × |
11407 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and seven |
| Binary (base 2) | 10110010001111 |
| Octal (base 8) | 26217 |
| Hexadecimal (base 16) | 2C8F |
| Base 3 | 120122111 |
| As time | 11407 seconds = 3 h 10 min 7 s |
Is 11407 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 3) | 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 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11407 ÷ 11 = 1037) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11407 a prime number?
No. 11407 = 11 × 17 × 61, so it is divisible by 11.
What are the factors of 11407?
1, 11, 17, 61, 187, 671, 1037, 11407.
What is 11407 in binary?
10110010001111 (hexadecimal 2C8F, octal 26217).
What is the square root of 11407?
About 106.8036.
Is 11407 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 11407?
It is a composite number with 8 divisors.