The number 35960
35960 is a composite number with 32 divisors. Its prime factorisation is × 5 × 29 × 31. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 29, 31, 40, 58, 62, 116, 124, 145, 155 … 35960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35960 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 35960 itself that is 50440, so 35960 is abundant (50440 is more than 35960). Euler's totient φ(35960) = 13440 numbers up to 35960 share no factor with it.
- 4
The digits of 35960 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35960 = 2^{3} \times 5 \times 29 \times 31 \]35960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 13440 |
| Square | 1293121600 |
| Cube | 46500652736000 |
| Square root | 189.631221 (= 2√8990) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.596 × |
35960 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and sixty |
| Binary (base 2) | 1000110001111000 |
| Octal (base 8) | 106170 |
| Hexadecimal (base 16) | 8C78 |
| Base 3 | 1211022212 |
| As time | 35960 seconds = 9 h 59 min 20 s |
Is 35960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35960 ÷ 2 = 17980) | 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 (35960 ÷ 4 = 8990) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35960 ÷ 5 = 7192) | 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 1) | 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 | Yes (35960 ÷ 8 = 4495) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35960 ÷ 10 = 3596) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 35960 a prime number?
No. 35960 = × 5 × 29 × 31, so it is divisible by 2.
What are the factors of 35960?
1, 2, 4, 5, 8, 10, 20, 29, 31, 40, 58, 62, 116, 124, 145, 155, 232, 248, 290, 310, 580, 620, 899, 1160, 1240, 1798, 3596, 4495, 7192, 8990, 17980, 35960.
What is 35960 in binary?
1000110001111000 (hexadecimal 8C78, octal 106170).
What is the square root of 35960?
About 189.6312, exactly 2√8990.
Is 35960 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 35960?
It is a composite number with 32 divisors.