The number 53980
53980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2699. Divisors (12): 1, 2, 4, 5, 10, 20, 2699, 5398, 10796, 13495, 26990, 53980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53980 is composite. Its prime factorisation is
- 3
The divisors add up to 113400; without 53980 itself that is 59420, so 53980 is abundant (59420 is more than 53980). Euler's totient φ(53980) = 21584 numbers up to 53980 share no factor with it.
- 4
The digits of 53980 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53980 = 2^{2} \times 5 \times 2699 \]53980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 113400 |
| Euler totient φ(n) | 21584 |
| Square | 2913840400 |
| Cube | 157289104792000 |
| Square root | 232.335964 (= 2√13495) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.398 × |
53980 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and eighty |
| Binary (base 2) | 1101001011011100 |
| Octal (base 8) | 151334 |
| Hexadecimal (base 16) | D2DC |
| Base 3 | 2202001021 |
| As time | 53980 seconds = 14 h 59 min 40 s |
Is 53980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53980 ÷ 2 = 26990) | 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 (53980 ÷ 4 = 13495) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53980 ÷ 5 = 10796) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53980 ÷ 10 = 5398) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 53980 a prime number?
No. 53980 = × 5 × 2699, so it is divisible by 2.
What are the factors of 53980?
1, 2, 4, 5, 10, 20, 2699, 5398, 10796, 13495, 26990, 53980.
What is 53980 in binary?
1101001011011100 (hexadecimal D2DC, octal 151334).
What is the square root of 53980?
About 232.3360, exactly 2√13495.
Is 53980 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53980?
It is a composite number with 12 divisors.