The number 35409
35409 is a binary palindrome (1000101001010001). Its prime factorisation is 3 × 11 × 29 × 37. Divisors (16): 1, 3, 11, 29, 33, 37, 87, 111, 319, 407, 957, 1073, 1221, 3219, 11803, 35409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35409: a binary palindrome (1000101001010001).
- 2
35409 is composite. Its prime factorisation is
- 3
The divisors add up to 54720; without 35409 itself that is 19311, so 35409 is deficient (19311 is less than 35409). Euler's totient φ(35409) = 20160 numbers up to 35409 share no factor with it.
- 4
The digits of 35409 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35409 = 3 \times 11 \times 29 \times 37 \]
35409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54720 |
| Euler totient φ(n) | 20160 |
| Square | 1253797281 |
| Cube | 44395707922929 |
| Square root | 188.172793 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5409 × |
35409 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and nine |
| Binary (base 2) | 1000101001010001 |
| Octal (base 8) | 105121 |
| Hexadecimal (base 16) | 8A51 |
| Base 3 | 1210120110 |
| As time | 35409 seconds = 9 h 50 min 9 s |
Is 35409 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35409 ÷ 3 = 11803) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (35409 ÷ 11 = 3219) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35409 a prime number?
No. 35409 = 3 × 11 × 29 × 37, so it is divisible by 3.
What are the factors of 35409?
1, 3, 11, 29, 33, 37, 87, 111, 319, 407, 957, 1073, 1221, 3219, 11803, 35409.
What is 35409 in binary?
1000101001010001 (hexadecimal 8A51, octal 105121).
What is the square root of 35409?
About 188.1728.
Is 35409 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35409?
35409 is a binary palindrome (1000101001010001).