The number 53430
53430 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 137. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 137, 195 … 53430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53430: a Harshad number: divisible by its digit sum 15.
- 2
53430 is composite. Its prime factorisation is
- 3
The divisors add up to 139104; without 53430 itself that is 85674, so 53430 is abundant (85674 is more than 53430). Euler's totient φ(53430) = 13056 numbers up to 53430 share no factor with it.
- 4
The digits of 53430 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53430 = 2 \times 3 \times 5 \times 13 \times 137 \]
53430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 139104 |
| Euler totient φ(n) | 13056 |
| Square | 2854764900 |
| Cube | 152530088607000 |
| Square root | 231.149302 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.343 × |
53430 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and thirty |
| Binary (base 2) | 1101000010110110 |
| Octal (base 8) | 150266 |
| Hexadecimal (base 16) | D0B6 |
| Base 3 | 2201021220 |
| As time | 53430 seconds = 14 h 50 min 30 s |
Is 53430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53430 ÷ 2 = 26715) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53430 ÷ 3 = 17810) | 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 | Yes (53430 ÷ 5 = 10686) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53430 ÷ 6 = 8905) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 | Yes (53430 ÷ 10 = 5343) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53430 a prime number?
No. 53430 = 2 × 3 × 5 × 13 × 137, so it is divisible by 2.
What are the factors of 53430?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 137, 195, 274, 390, 411, 685, 822, 1370, 1781, 2055, 3562, 4110, 5343, 8905, 10686, 17810, 26715, 53430.
What is 53430 in binary?
1101000010110110 (hexadecimal D0B6, octal 150266).
What is the square root of 53430?
About 231.1493.
Is 53430 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 53430?
53430 is a Harshad number: divisible by its digit sum 15.