The number 5180
5180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 37. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185 … 5180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5180: a Harshad number: divisible by its digit sum 14.
- 2
5180 is composite. Its prime factorisation is
- 3
The divisors add up to 12768; without 5180 itself that is 7588, so 5180 is abundant (7588 is more than 5180). Euler's totient φ(5180) = 1728 numbers up to 5180 share no factor with it.
- 4
The digits of 5180 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5180 = 2^{2} \times 5 \times 7 \times 37 \]5180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 12768 |
| Euler totient φ(n) | 1728 |
| Square | 26832400 |
| Cube | 138991832000 |
| Square root | 71.972217 (= 2√1295) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.18 × |
5180 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and eighty |
| Binary (base 2) | 1010000111100 |
| Octal (base 8) | 12074 |
| Hexadecimal (base 16) | 143C |
| Base 3 | 21002212 |
| As time | 5180 seconds = 1 h 26 min 20 s |
Is 5180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5180 ÷ 2 = 2590) | 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 (5180 ÷ 4 = 1295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5180 ÷ 5 = 1036) | 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 | Yes (5180 ÷ 7 = 740) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5180 ÷ 10 = 518) | 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 5180 a prime number?
No. 5180 = × 5 × 7 × 37, so it is divisible by 2.
What are the factors of 5180?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180.
What is 5180 in binary?
1010000111100 (hexadecimal 143C, octal 12074).
What is the square root of 5180?
About 71.9722, exactly 2√1295.
Is 5180 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5180?
5180 is a Harshad number: divisible by its digit sum 14.