The number 35427
35427 is a composite number with 12 divisors. Its prime factorisation is 3 × × 241. Divisors (12): 1, 3, 7, 21, 49, 147, 241, 723, 1687, 5061, 11809, 35427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35427: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
35427 is composite. Its prime factorisation is
- 3
The divisors add up to 55176; without 35427 itself that is 19749, so 35427 is deficient (19749 is less than 35427). Euler's totient φ(35427) = 20160 numbers up to 35427 share no factor with it.
- 4
The digits of 35427 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35427 = 3 \times 7^{2} \times 241 \]35427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55176 |
| Euler totient φ(n) | 20160 |
| Square | 1255072329 |
| Cube | 44463447399483 |
| Square root | 188.220615 (= 7√723) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.5427 × |
35427 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and twenty-seven |
| Binary (base 2) | 1000101001100011 |
| Octal (base 8) | 105143 |
| Hexadecimal (base 16) | 8A63 |
| Base 3 | 1210121010 |
| As time | 35427 seconds = 9 h 50 min 27 s |
Is 35427 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 (35427 ÷ 3 = 11809) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (35427 ÷ 7 = 5061) | 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 3) | 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 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35427 a prime number?
No. 35427 = 3 × × 241, so it is divisible by 3.
What are the factors of 35427?
1, 3, 7, 21, 49, 147, 241, 723, 1687, 5061, 11809, 35427.
What is 35427 in binary?
1000101001100011 (hexadecimal 8A63, octal 105143).
What is the square root of 35427?
About 188.2206, exactly 7√723.
Is 35427 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35427?
35427 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.