The number 35980
35980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 257. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 257, 514, 1028, 1285 … 35980.
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How to work it out
- 1
35980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35980 is composite. Its prime factorisation is
- 3
The divisors add up to 86688; without 35980 itself that is 50708, so 35980 is abundant (50708 is more than 35980). Euler's totient φ(35980) = 12288 numbers up to 35980 share no factor with it.
- 4
The digits of 35980 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35980 = 2^{2} \times 5 \times 7 \times 257 \]35980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86688 |
| Euler totient φ(n) | 12288 |
| Square | 1294560400 |
| Cube | 46578283192000 |
| Square root | 189.683948 (= 2√8995) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.598 × |
35980 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and eighty |
| Binary (base 2) | 1000110010001100 |
| Octal (base 8) | 106214 |
| Hexadecimal (base 16) | 8C8C |
| Base 3 | 1211100121 |
| As time | 35980 seconds = 9 h 59 min 40 s |
Is 35980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35980 ÷ 2 = 17990) | 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 (35980 ÷ 4 = 8995) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35980 ÷ 5 = 7196) | 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 (35980 ÷ 7 = 5140) | 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 (35980 ÷ 10 = 3598) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35980 a prime number?
No. 35980 = × 5 × 7 × 257, so it is divisible by 2.
What are the factors of 35980?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 257, 514, 1028, 1285, 1799, 2570, 3598, 5140, 7196, 8995, 17990, 35980.
What is 35980 in binary?
1000110010001100 (hexadecimal 8C8C, octal 106214).
What is the square root of 35980?
About 189.6839, exactly 2√8995.
Is 35980 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 35980?
It is a composite number with 24 divisors.