The number 35478
35478 is a composite number with 24 divisors. Its prime factorisation is 2 × × 73. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 73, 81, 146, 162, 219, 243, 438, 486 … 35478.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35478: a Harshad number: divisible by its digit sum 27.
- 2
35478 is composite. Its prime factorisation is
- 3
The divisors add up to 80808; without 35478 itself that is 45330, so 35478 is abundant (45330 is more than 35478). Euler's totient φ(35478) = 11664 numbers up to 35478 share no factor with it.
- 4
The digits of 35478 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35478 = 2 \times 3^{5} \times 73 \]35478 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 80808 |
| Euler totient φ(n) | 11664 |
| Square | 1258688484 |
| Cube | 44655750035352 |
| Square root | 188.356046 (= 9√438) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5478 × |
35478 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and seventy-eight |
| Binary (base 2) | 1000101010010110 |
| Octal (base 8) | 105226 |
| Hexadecimal (base 16) | 8A96 |
| Base 3 | 1210200000 |
| As time | 35478 seconds = 9 h 51 min 18 s |
Is 35478 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35478 ÷ 2 = 17739) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35478 ÷ 3 = 11826) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35478 ÷ 6 = 5913) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (35478 ÷ 9 = 3942) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35478 a prime number?
No. 35478 = 2 × × 73, so it is divisible by 2.
What are the factors of 35478?
1, 2, 3, 6, 9, 18, 27, 54, 73, 81, 146, 162, 219, 243, 438, 486, 657, 1314, 1971, 3942, 5913, 11826, 17739, 35478.
What is 35478 in binary?
1000101010010110 (hexadecimal 8A96, octal 105226).
What is the square root of 35478?
About 188.3560, exactly 9√438.
Is 35478 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 35478?
35478 is a Harshad number: divisible by its digit sum 27.