The number 45426
45426 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 67 × 113. Divisors (16): 1, 2, 3, 6, 67, 113, 134, 201, 226, 339, 402, 678, 7571, 15142, 22713, 45426.
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How to work it out
- 1
What is special about 45426: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
45426 is composite. Its prime factorisation is
- 3
The divisors add up to 93024; without 45426 itself that is 47598, so 45426 is abundant (47598 is more than 45426). Euler's totient φ(45426) = 14784 numbers up to 45426 share no factor with it.
- 4
The digits of 45426 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 45426 = 2 \times 3 \times 67 \times 113 \]
45426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93024 |
| Euler totient φ(n) | 14784 |
| Square | 2063521476 |
| Cube | 93737526568776 |
| Square root | 213.133761 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.5426 × |
45426 in other forms
| Form | Value |
|---|---|
| In words | forty-five thousand four hundred and twenty-six |
| Binary (base 2) | 1011000101110010 |
| Octal (base 8) | 130562 |
| Hexadecimal (base 16) | B172 |
| Base 3 | 2022022110 |
| As time | 45426 seconds = 12 h 37 min 6 s |
Is 45426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (45426 ÷ 2 = 22713) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (45426 ÷ 3 = 15142) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (45426 ÷ 6 = 7571) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 45426 a prime number?
No. 45426 = 2 × 3 × 67 × 113, so it is divisible by 2.
What are the factors of 45426?
1, 2, 3, 6, 67, 113, 134, 201, 226, 339, 402, 678, 7571, 15142, 22713, 45426.
What is 45426 in binary?
1011000101110010 (hexadecimal B172, octal 130562).
What is the square root of 45426?
About 213.1338.
Is 45426 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 45426?
45426 is a happy number: repeatedly adding the squares of its digits reaches 1.