The number 14980
14980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 107. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 107, 140, 214, 428, 535 … 14980.
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How to work it out
- 1
14980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14980 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 14980 itself that is 21308, so 14980 is abundant (21308 is more than 14980). Euler's totient φ(14980) = 5088 numbers up to 14980 share no factor with it.
- 4
The digits of 14980 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14980 = 2^{2} \times 5 \times 7 \times 107 \]14980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 5088 |
| Square | 224400400 |
| Cube | 3361517992000 |
| Square root | 122.392810 (= 2√3745) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.498 × |
14980 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand nine hundred and eighty |
| Binary (base 2) | 11101010000100 |
| Octal (base 8) | 35204 |
| Hexadecimal (base 16) | 3A84 |
| Base 3 | 202112211 |
| As time | 14980 seconds = 4 h 9 min 40 s |
Is 14980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14980 ÷ 2 = 7490) | 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 (14980 ÷ 4 = 3745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14980 ÷ 5 = 2996) | 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 (14980 ÷ 7 = 2140) | 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 (14980 ÷ 10 = 1498) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 14980 a prime number?
No. 14980 = × 5 × 7 × 107, so it is divisible by 2.
What are the factors of 14980?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 107, 140, 214, 428, 535, 749, 1070, 1498, 2140, 2996, 3745, 7490, 14980.
What is 14980 in binary?
11101010000100 (hexadecimal 3A84, octal 35204).
What is the square root of 14980?
About 122.3928, exactly 2√3745.
Is 14980 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 14980?
It is a composite number with 24 divisors.