The number 53120
53120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 83. Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 83, 128, 160, 166 … 53120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53120 is composite. Its prime factorisation is
- 3
The divisors add up to 128520; without 53120 itself that is 75400, so 53120 is abundant (75400 is more than 53120). Euler's totient φ(53120) = 20992 numbers up to 53120 share no factor with it.
- 4
The digits of 53120 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53120 = 2^{7} \times 5 \times 83 \]53120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 128520 |
| Euler totient φ(n) | 20992 |
| Square | 2821734400 |
| Cube | 149890531328000 |
| Square root | 230.477765 (= 8√830) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.312 × |
53120 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and twenty |
| Binary (base 2) | 1100111110000000 |
| Octal (base 8) | 147600 |
| Hexadecimal (base 16) | CF80 |
| Base 3 | 2200212102 |
| As time | 53120 seconds = 14 h 45 min 20 s |
Is 53120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53120 ÷ 2 = 26560) | 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 (53120 ÷ 4 = 13280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53120 ÷ 5 = 10624) | 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 4) | 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 (53120 ÷ 8 = 6640) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53120 ÷ 10 = 5312) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 53120 a prime number?
No. 53120 = × 5 × 83, so it is divisible by 2.
What are the factors of 53120?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 83, 128, 160, 166, 320, 332, 415, 640, 664, 830, 1328, 1660, 2656, 3320, 5312, 6640, 10624, 13280, 26560, 53120.
What is 53120 in binary?
1100111110000000 (hexadecimal CF80, octal 147600).
What is the square root of 53120?
About 230.4778, exactly 8√830.
Is 53120 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 53120?
It is a composite number with 32 divisors.