The number 53220
53220 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 887. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 887, 1774, 2661, 3548 … 53220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53220: a Harshad number: divisible by its digit sum 12.
- 2
53220 is composite. Its prime factorisation is
- 3
The divisors add up to 149184; without 53220 itself that is 95964, so 53220 is abundant (95964 is more than 53220). Euler's totient φ(53220) = 14176 numbers up to 53220 share no factor with it.
- 4
The digits of 53220 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53220 = 2^{2} \times 3 \times 5 \times 887 \]53220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 149184 |
| Euler totient φ(n) | 14176 |
| Square | 2832368400 |
| Cube | 150738646248000 |
| Square root | 230.694603 (= 2√13305) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.322 × |
53220 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand two hundred and twenty |
| Binary (base 2) | 1100111111100100 |
| Octal (base 8) | 147744 |
| Hexadecimal (base 16) | CFE4 |
| Base 3 | 2201000010 |
| As time | 53220 seconds = 14 h 47 min 0 s |
Is 53220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53220 ÷ 2 = 26610) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53220 ÷ 3 = 17740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53220 ÷ 4 = 13305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53220 ÷ 5 = 10644) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53220 ÷ 6 = 8870) | 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 4) | 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 (53220 ÷ 10 = 5322) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53220 ÷ 12 = 4435) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53220 a prime number?
No. 53220 = × 3 × 5 × 887, so it is divisible by 2.
What are the factors of 53220?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 887, 1774, 2661, 3548, 4435, 5322, 8870, 10644, 13305, 17740, 26610, 53220.
What is 53220 in binary?
1100111111100100 (hexadecimal CFE4, octal 147744).
What is the square root of 53220?
About 230.6946, exactly 2√13305.
Is 53220 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 53220?
53220 is a Harshad number: divisible by its digit sum 12.