The number 45423
45423 is a composite number with 18 divisors. Its prime factorisation is × × 103. Divisors (18): 1, 3, 7, 9, 21, 49, 63, 103, 147, 309, 441, 721, 927, 2163, 5047, 6489 … 45423.
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How to work it out
- 1
What is special about 45423: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
45423 is composite. Its prime factorisation is
- 3
The divisors add up to 77064; without 45423 itself that is 31641, so 45423 is deficient (31641 is less than 45423). Euler's totient φ(45423) = 25704 numbers up to 45423 share no factor with it.
- 4
The digits of 45423 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 45423 = 3^{2} \times 7^{2} \times 103 \]45423 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 77064 |
| Euler totient φ(n) | 25704 |
| Square | 2063248929 |
| Cube | 93718956101967 |
| Square root | 213.126723 (= 21√103) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.5423 × |
45423 in other forms
| Form | Value |
|---|---|
| In words | forty-five thousand four hundred and twenty-three |
| Binary (base 2) | 1011000101101111 |
| Octal (base 8) | 130557 |
| Hexadecimal (base 16) | B16F |
| Base 3 | 2022022100 |
| As time | 45423 seconds = 12 h 37 min 3 s |
Is 45423 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 | Yes (45423 ÷ 3 = 15141) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (45423 ÷ 7 = 6489) | 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 | Yes (45423 ÷ 9 = 5047) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 45423 a prime number?
No. 45423 = × × 103, so it is divisible by 3.
What are the factors of 45423?
1, 3, 7, 9, 21, 49, 63, 103, 147, 309, 441, 721, 927, 2163, 5047, 6489, 15141, 45423.
What is 45423 in binary?
1011000101101111 (hexadecimal B16F, octal 130557).
What is the square root of 45423?
About 213.1267, exactly 21√103.
Is 45423 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 45423?
45423 is a happy number: repeatedly adding the squares of its digits reaches 1.