The number 17423
17423 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 131. Divisors (8): 1, 7, 19, 131, 133, 917, 2489, 17423.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17423: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17423 is composite. Its prime factorisation is
- 3
The divisors add up to 21120; without 17423 itself that is 3697, so 17423 is deficient (3697 is less than 17423). Euler's totient φ(17423) = 14040 numbers up to 17423 share no factor with it.
- 4
The digits of 17423 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17423 = 7 \times 19 \times 131 \]
17423 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21120 |
| Euler totient φ(n) | 14040 |
| Square | 303560929 |
| Cube | 5288942065967 |
| Square root | 131.996212 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.7423 × |
17423 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and twenty-three |
| Binary (base 2) | 100010000001111 |
| Octal (base 8) | 42017 |
| Hexadecimal (base 16) | 440F |
| Base 3 | 212220022 |
| As time | 17423 seconds = 4 h 50 min 23 s |
Is 17423 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 3) | 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 (17423 ÷ 7 = 2489) | 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 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17423 a prime number?
No. 17423 = 7 × 19 × 131, so it is divisible by 7.
What are the factors of 17423?
1, 7, 19, 131, 133, 917, 2489, 17423.
What is 17423 in binary?
100010000001111 (hexadecimal 440F, octal 42017).
What is the square root of 17423?
About 131.9962.
Is 17423 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17423?
17423 is a happy number: repeatedly adding the squares of its digits reaches 1.