The number 11473
11473 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 149. Divisors (8): 1, 7, 11, 77, 149, 1043, 1639, 11473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11473 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 11473 itself that is 2927, so 11473 is deficient (2927 is less than 11473). Euler's totient φ(11473) = 8880 numbers up to 11473 share no factor with it.
- 4
The digits of 11473 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11473 = 7 \times 11 \times 149 \]
11473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 8880 |
| Square | 131629729 |
| Cube | 1510187880817 |
| Square root | 107.112091 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 1.1473 × |
11473 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and seventy-three |
| Binary (base 2) | 10110011010001 |
| Octal (base 8) | 26321 |
| Hexadecimal (base 16) | 2CD1 |
| Base 3 | 120201221 |
| As time | 11473 seconds = 3 h 11 min 13 s |
Is 11473 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 3) | 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 | Yes (11473 ÷ 7 = 1639) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11473 ÷ 11 = 1043) | 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 11473 a prime number?
No. 11473 = 7 × 11 × 149, so it is divisible by 7.
What are the factors of 11473?
1, 7, 11, 77, 149, 1043, 1639, 11473.
What is 11473 in binary?
10110011010001 (hexadecimal 2CD1, octal 26321).
What is the square root of 11473?
About 107.1121.
Is 11473 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11473?
It is a composite number with 8 divisors.