The number 53628
53628 is a triangular number: 1 + 2 + … + 327 = 53628. Its prime factorisation is × 3 × 41 × 109. Divisors (24): 1, 2, 3, 4, 6, 12, 41, 82, 109, 123, 164, 218, 246, 327, 436, 492 … 53628.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53628: a triangular number: 1 + 2 + … + 327 = 53628.
- 2
53628 is composite. Its prime factorisation is
- 3
The divisors add up to 129360; without 53628 itself that is 75732, so 53628 is abundant (75732 is more than 53628). Euler's totient φ(53628) = 17280 numbers up to 53628 share no factor with it.
- 4
The digits of 53628 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53628 = 2^{2} \times 3 \times 41 \times 109 \]53628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129360 |
| Euler totient φ(n) | 17280 |
| Square | 2875962384 |
| Cube | 154232110729152 |
| Square root | 231.577201 (= 2√13407) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3628 × |
53628 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred and twenty-eight |
| Binary (base 2) | 1101000101111100 |
| Octal (base 8) | 150574 |
| Hexadecimal (base 16) | D17C |
| Base 3 | 2201120020 |
| As time | 53628 seconds = 14 h 53 min 48 s |
Is 53628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53628 ÷ 2 = 26814) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53628 ÷ 3 = 17876) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53628 ÷ 4 = 13407) | 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 | Yes (53628 ÷ 6 = 8938) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53628 ÷ 12 = 4469) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53628 a prime number?
No. 53628 = × 3 × 41 × 109, so it is divisible by 2.
What are the factors of 53628?
1, 2, 3, 4, 6, 12, 41, 82, 109, 123, 164, 218, 246, 327, 436, 492, 654, 1308, 4469, 8938, 13407, 17876, 26814, 53628.
What is 53628 in binary?
1101000101111100 (hexadecimal D17C, octal 150574).
What is the square root of 53628?
About 231.5772, exactly 2√13407.
Is 53628 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53628?
53628 is a triangular number: 1 + 2 + … + 327 = 53628.