The number 53445
53445 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 7 × 509. Divisors (16): 1, 3, 5, 7, 15, 21, 35, 105, 509, 1527, 2545, 3563, 7635, 10689, 17815, 53445.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53445: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
53445 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 53445 itself that is 44475, so 53445 is deficient (44475 is less than 53445). Euler's totient φ(53445) = 24384 numbers up to 53445 share no factor with it.
- 4
The digits of 53445 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53445 = 3 \times 5 \times 7 \times 509 \]
53445 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 24384 |
| Square | 2856368025 |
| Cube | 152658589096125 |
| Square root | 231.181747 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3445 × |
53445 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and forty-five |
| Binary (base 2) | 1101000011000101 |
| Octal (base 8) | 150305 |
| Hexadecimal (base 16) | D0C5 |
| Base 3 | 2201022110 |
| As time | 53445 seconds = 14 h 50 min 45 s |
Is 53445 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 (53445 ÷ 3 = 17815) | 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 | Yes (53445 ÷ 5 = 10689) | 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 (53445 ÷ 7 = 7635) | 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 5) | 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 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53445 a prime number?
No. 53445 = 3 × 5 × 7 × 509, so it is divisible by 3.
What are the factors of 53445?
1, 3, 5, 7, 15, 21, 35, 105, 509, 1527, 2545, 3563, 7635, 10689, 17815, 53445.
What is 53445 in binary?
1101000011000101 (hexadecimal D0C5, octal 150305).
What is the square root of 53445?
About 231.1817.
Is 53445 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53445?
53445 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.