The number 5320
5320 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 19. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70 … 5320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5320: a Harshad number: divisible by its digit sum 10.
- 2
5320 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 5320 itself that is 9080, so 5320 is abundant (9080 is more than 5320). Euler's totient φ(5320) = 1728 numbers up to 5320 share no factor with it.
- 4
The digits of 5320 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5320 = 2^{3} \times 5 \times 7 \times 19 \]5320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 1728 |
| Square | 28302400 |
| Cube | 150568768000 |
| Square root | 72.938330 (= 2√1330) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.32 × |
5320 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and twenty |
| Binary (base 2) | 1010011001000 |
| Octal (base 8) | 12310 |
| Hexadecimal (base 16) | 14C8 |
| Base 3 | 21022001 |
| As time | 5320 seconds = 1 h 28 min 40 s |
Is 5320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5320 ÷ 2 = 2660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5320 ÷ 4 = 1330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5320 ÷ 5 = 1064) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5320 ÷ 7 = 760) | 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 (5320 ÷ 8 = 665) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5320 ÷ 10 = 532) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5320 a prime number?
No. 5320 = × 5 × 7 × 19, so it is divisible by 2.
What are the factors of 5320?
1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320.
What is 5320 in binary?
1010011001000 (hexadecimal 14C8, octal 12310).
What is the square root of 5320?
About 72.9383, exactly 2√1330.
Is 5320 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 5320?
5320 is a Harshad number: divisible by its digit sum 10.