The number 35350
35350 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 101. Divisors (24): 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 101, 175, 202, 350, 505, 707 … 35350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35350: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35350 is composite. Its prime factorisation is
- 3
The divisors add up to 75888; without 35350 itself that is 40538, so 35350 is abundant (40538 is more than 35350). Euler's totient φ(35350) = 12000 numbers up to 35350 share no factor with it.
- 4
The digits of 35350 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35350 = 2 \times 5^{2} \times 7 \times 101 \]35350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 75888 |
| Euler totient φ(n) | 12000 |
| Square | 1249622500 |
| Cube | 44174155375000 |
| Square root | 188.015957 (= 5√1414) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.535 × |
35350 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and fifty |
| Binary (base 2) | 1000101000010110 |
| Octal (base 8) | 105026 |
| Hexadecimal (base 16) | 8A16 |
| Base 3 | 1210111021 |
| As time | 35350 seconds = 9 h 49 min 10 s |
Is 35350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35350 ÷ 2 = 17675) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35350 ÷ 5 = 7070) | 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 (35350 ÷ 7 = 5050) | 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 6) | 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 (35350 ÷ 10 = 3535) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35350 a prime number?
No. 35350 = 2 × × 7 × 101, so it is divisible by 2.
What are the factors of 35350?
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 101, 175, 202, 350, 505, 707, 1010, 1414, 2525, 3535, 5050, 7070, 17675, 35350.
What is 35350 in binary?
1000101000010110 (hexadecimal 8A16, octal 105026).
What is the square root of 35350?
About 188.0160, exactly 5√1414.
Is 35350 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35350?
35350 is a happy number: repeatedly adding the squares of its digits reaches 1.