The number 53360
53360 is a composite number with 40 divisors. Its prime factorisation is × 5 × 23 × 29. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 23, 29, 40, 46, 58, 80, 92, 115 … 53360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53360: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53360 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 53360 itself that is 80560, so 53360 is abundant (80560 is more than 53360). Euler's totient φ(53360) = 19712 numbers up to 53360 share no factor with it.
- 4
The digits of 53360 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53360 = 2^{4} \times 5 \times 23 \times 29 \]53360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 19712 |
| Square | 2847289600 |
| Cube | 151931373056000 |
| Square root | 230.997835 (= 4√3335) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.336 × |
53360 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and sixty |
| Binary (base 2) | 1101000001110000 |
| Octal (base 8) | 150160 |
| Hexadecimal (base 16) | D070 |
| Base 3 | 2201012022 |
| As time | 53360 seconds = 14 h 49 min 20 s |
Is 53360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53360 ÷ 2 = 26680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53360 ÷ 4 = 13340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53360 ÷ 5 = 10672) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (53360 ÷ 8 = 6670) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53360 ÷ 10 = 5336) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53360 a prime number?
No. 53360 = × 5 × 23 × 29, so it is divisible by 2.
What are the factors of 53360?
1, 2, 4, 5, 8, 10, 16, 20, 23, 29, 40, 46, 58, 80, 92, 115, 116, 145, 184, 230, 232, 290, 368, 460, 464, 580, 667, 920, 1160, 1334, 1840, 2320, 2668, 3335, 5336, 6670, 10672, 13340, 26680, 53360.
What is 53360 in binary?
1101000001110000 (hexadecimal D070, octal 150160).
What is the square root of 53360?
About 230.9978, exactly 4√3335.
Is 53360 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 53360?
53360 is a happy number: repeatedly adding the squares of its digits reaches 1.