The number 13433
13433 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 101. Divisors (8): 1, 7, 19, 101, 133, 707, 1919, 13433.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13433: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13433 is composite. Its prime factorisation is
- 3
The divisors add up to 16320; without 13433 itself that is 2887, so 13433 is deficient (2887 is less than 13433). Euler's totient φ(13433) = 10800 numbers up to 13433 share no factor with it.
- 4
The digits of 13433 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13433 = 7 \times 19 \times 101 \]
13433 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16320 |
| Euler totient φ(n) | 10800 |
| Square | 180445489 |
| Cube | 2423924253737 |
| Square root | 115.900820 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3433 × |
13433 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and thirty-three |
| Binary (base 2) | 11010001111001 |
| Octal (base 8) | 32171 |
| Hexadecimal (base 16) | 3479 |
| Base 3 | 200102112 |
| As time | 13433 seconds = 3 h 43 min 53 s |
Is 13433 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 3) | 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 (13433 ÷ 7 = 1919) | 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 5) | 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 | No (remainder 2) | 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 13433 a prime number?
No. 13433 = 7 × 19 × 101, so it is divisible by 7.
What are the factors of 13433?
1, 7, 19, 101, 133, 707, 1919, 13433.
What is 13433 in binary?
11010001111001 (hexadecimal 3479, octal 32171).
What is the square root of 13433?
About 115.9008.
Is 13433 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13433?
13433 is a happy number: repeatedly adding the squares of its digits reaches 1.