The number 5380
5380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 269. Divisors (12): 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5380 is composite. Its prime factorisation is
- 3
The divisors add up to 11340; without 5380 itself that is 5960, so 5380 is abundant (5960 is more than 5380). Euler's totient φ(5380) = 2144 numbers up to 5380 share no factor with it.
- 4
The digits of 5380 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5380 = 2^{2} \times 5 \times 269 \]5380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11340 |
| Euler totient φ(n) | 2144 |
| Square | 28944400 |
| Cube | 155720872000 |
| Square root | 73.348483 (= 2√1345) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.38 × |
5380 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and eighty |
| Binary (base 2) | 1010100000100 |
| Octal (base 8) | 12404 |
| Hexadecimal (base 16) | 1504 |
| Base 3 | 21101021 |
| As time | 5380 seconds = 1 h 29 min 40 s |
Is 5380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5380 ÷ 2 = 2690) | 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 (5380 ÷ 4 = 1345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5380 ÷ 5 = 1076) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5380 ÷ 10 = 538) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5380 a prime number?
No. 5380 = × 5 × 269, so it is divisible by 2.
What are the factors of 5380?
1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380.
What is 5380 in binary?
1010100000100 (hexadecimal 1504, octal 12404).
What is the square root of 5380?
About 73.3485, exactly 2√1345.
Is 5380 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5380?
It is a composite number with 12 divisors.