The number 5980
5980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 23. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230 … 5980.
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How to work it out
- 1
5980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5980 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 5980 itself that is 8132, so 5980 is abundant (8132 is more than 5980). Euler's totient φ(5980) = 2112 numbers up to 5980 share no factor with it.
- 4
The digits of 5980 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5980 = 2^{2} \times 5 \times 13 \times 23 \]5980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 2112 |
| Square | 35760400 |
| Cube | 213847192000 |
| Square root | 77.330460 (= 2√1495) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.98 × |
5980 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and eighty |
| Binary (base 2) | 1011101011100 |
| Octal (base 8) | 13534 |
| Hexadecimal (base 16) | 175C |
| Base 3 | 22012111 |
| As time | 5980 seconds = 1 h 39 min 40 s |
Is 5980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5980 ÷ 2 = 2990) | 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 (5980 ÷ 4 = 1495) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5980 ÷ 5 = 1196) | 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5980 ÷ 10 = 598) | 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 5980 a prime number?
No. 5980 = × 5 × 13 × 23, so it is divisible by 2.
What are the factors of 5980?
1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980.
What is 5980 in binary?
1011101011100 (hexadecimal 175C, octal 13534).
What is the square root of 5980?
About 77.3305, exactly 2√1495.
Is 5980 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5980?
It is a composite number with 24 divisors.