The number 35480
35480 is a composite number with 16 divisors. Its prime factorisation is × 5 × 887. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 887, 1774, 3548, 4435, 7096, 8870, 17740, 35480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35480: a Harshad number: divisible by its digit sum 20.
- 2
35480 is composite. Its prime factorisation is
- 3
The divisors add up to 79920; without 35480 itself that is 44440, so 35480 is abundant (44440 is more than 35480). Euler's totient φ(35480) = 14176 numbers up to 35480 share no factor with it.
- 4
The digits of 35480 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35480 = 2^{3} \times 5 \times 887 \]35480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79920 |
| Euler totient φ(n) | 14176 |
| Square | 1258830400 |
| Cube | 44663302592000 |
| Square root | 188.361355 (= 2√8870) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.548 × |
35480 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and eighty |
| Binary (base 2) | 1000101010011000 |
| Octal (base 8) | 105230 |
| Hexadecimal (base 16) | 8A98 |
| Base 3 | 1210200002 |
| As time | 35480 seconds = 9 h 51 min 20 s |
Is 35480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35480 ÷ 2 = 17740) | 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 (35480 ÷ 4 = 8870) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35480 ÷ 5 = 7096) | 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 4) | 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 (35480 ÷ 8 = 4435) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35480 ÷ 10 = 3548) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 35480 a prime number?
No. 35480 = × 5 × 887, so it is divisible by 2.
What are the factors of 35480?
1, 2, 4, 5, 8, 10, 20, 40, 887, 1774, 3548, 4435, 7096, 8870, 17740, 35480.
What is 35480 in binary?
1000101010011000 (hexadecimal 8A98, octal 105230).
What is the square root of 35480?
About 188.3614, exactly 2√8870.
Is 35480 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35480?
35480 is a Harshad number: divisible by its digit sum 20.