The number 57980
57980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 223. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 223, 260, 446, 892, 1115 … 57980.
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How to work it out
- 1
What is special about 57980: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57980 is composite. Its prime factorisation is
- 3
The divisors add up to 131712; without 57980 itself that is 73732, so 57980 is abundant (73732 is more than 57980). Euler's totient φ(57980) = 21312 numbers up to 57980 share no factor with it.
- 4
The digits of 57980 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57980 = 2^{2} \times 5 \times 13 \times 223 \]57980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131712 |
| Euler totient φ(n) | 21312 |
| Square | 3361680400 |
| Cube | 194910229592000 |
| Square root | 240.790365 (= 2√14495) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.798 × |
57980 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and eighty |
| Binary (base 2) | 1110001001111100 |
| Octal (base 8) | 161174 |
| Hexadecimal (base 16) | E27C |
| Base 3 | 2221112102 |
| As time | 57980 seconds = 16 h 6 min 20 s |
Is 57980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57980 ÷ 2 = 28990) | 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 (57980 ÷ 4 = 14495) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57980 ÷ 5 = 11596) | 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 | No (remainder 6) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57980 ÷ 10 = 5798) | 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 57980 a prime number?
No. 57980 = × 5 × 13 × 223, so it is divisible by 2.
What are the factors of 57980?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 223, 260, 446, 892, 1115, 2230, 2899, 4460, 5798, 11596, 14495, 28990, 57980.
What is 57980 in binary?
1110001001111100 (hexadecimal E27C, octal 161174).
What is the square root of 57980?
About 240.7904, exactly 2√14495.
Is 57980 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 57980?
57980 is a happy number: repeatedly adding the squares of its digits reaches 1.