The number 53130
53130 is a composite number with 64 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 11 × 23. Divisors (64): 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 23, 30, 33, 35 … 53130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53130: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53130 is composite. Its prime factorisation is
- 3
The divisors add up to 165888; without 53130 itself that is 112758, so 53130 is abundant (112758 is more than 53130). Euler's totient φ(53130) = 10560 numbers up to 53130 share no factor with it.
- 4
The digits of 53130 add up to 12, 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
\[ 53130 = 2 \times 3 \times 5 \times 7 \times 11 \times 23 \]
53130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 165888 |
| Euler totient φ(n) | 10560 |
| Square | 2822796900 |
| Cube | 149975199297000 |
| Square root | 230.499458 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.313 × |
53130 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and thirty |
| Binary (base 2) | 1100111110001010 |
| Octal (base 8) | 147612 |
| Hexadecimal (base 16) | CF8A |
| Base 3 | 2200212210 |
| As time | 53130 seconds = 14 h 45 min 30 s |
Is 53130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53130 ÷ 2 = 26565) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53130 ÷ 3 = 17710) | 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 (53130 ÷ 5 = 10626) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53130 ÷ 6 = 8855) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53130 ÷ 7 = 7590) | 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 | Yes (53130 ÷ 10 = 5313) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53130 ÷ 11 = 4830) | 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 53130 a prime number?
No. 53130 = 2 × 3 × 5 × 7 × 11 × 23, so it is divisible by 2.
What are the factors of 53130?
1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 23, 30, 33, 35, 42, 46, 55, 66, 69, 70, 77, 105, 110, 115, 138, 154, 161, 165, 210, 230, 231, 253, 322, 330, 345, 385, 462, 483, 506, 690, 759, 770, 805, 966, 1155, 1265, 1518, 1610, 1771, 2310, 2415, 2530, 3542, 3795, 4830, 5313, 7590, 8855, 10626, 17710, 26565, 53130.
What is 53130 in binary?
1100111110001010 (hexadecimal CF8A, octal 147612).
What is the square root of 53130?
About 230.4995.
Is 53130 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 53130?
53130 is a happy number: repeatedly adding the squares of its digits reaches 1.