The number 4980
4980 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 83. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332 … 4980.
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How to work it out
- 1
4980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4980 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 4980 itself that is 9132, so 4980 is abundant (9132 is more than 4980). Euler's totient φ(4980) = 1312 numbers up to 4980 share no factor with it.
- 4
The digits of 4980 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4980 = 2^{2} \times 3 \times 5 \times 83 \]4980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 1312 |
| Square | 24800400 |
| Cube | 123505992000 |
| Square root | 70.569115 (= 2√1245) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.98 × |
4980 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and eighty |
| Binary (base 2) | 1001101110100 |
| Octal (base 8) | 11564 |
| Hexadecimal (base 16) | 1374 |
| Base 3 | 20211110 |
| As time | 4980 seconds = 1 h 23 min 0 s |
Is 4980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4980 ÷ 2 = 2490) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4980 ÷ 3 = 1660) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4980 ÷ 4 = 1245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4980 ÷ 5 = 996) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4980 ÷ 6 = 830) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4980 ÷ 10 = 498) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4980 ÷ 12 = 415) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4980 a prime number?
No. 4980 = × 3 × 5 × 83, so it is divisible by 2.
What are the factors of 4980?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980.
What is 4980 in binary?
1001101110100 (hexadecimal 1374, octal 11564).
What is the square root of 4980?
About 70.5691, exactly 2√1245.
Is 4980 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4980?
It is a composite number with 24 divisors.