The number 35072
35072 is a composite number with 18 divisors. Its prime factorisation is × 137. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 137, 256, 274, 548, 1096, 2192, 4384, 8768 … 35072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35072 is composite. Its prime factorisation is
- 3
The divisors add up to 70518; without 35072 itself that is 35446, so 35072 is abundant (35446 is more than 35072). Euler's totient φ(35072) = 17408 numbers up to 35072 share no factor with it.
- 4
The digits of 35072 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35072 = 2^{8} \times 137 \]35072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 70518 |
| Euler totient φ(n) | 17408 |
| Square | 1230045184 |
| Cube | 43140144693248 |
| Square root | 187.275199 (= 16√137) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.5072 × |
35072 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and seventy-two |
| Binary (base 2) | 1000100100000000 |
| Octal (base 8) | 104400 |
| Hexadecimal (base 16) | 8900 |
| Base 3 | 1210002222 |
| As time | 35072 seconds = 9 h 44 min 32 s |
Is 35072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35072 ÷ 2 = 17536) | 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 (35072 ÷ 4 = 8768) | 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 2) | 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 | Yes (35072 ÷ 8 = 4384) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 35072 a prime number?
No. 35072 = × 137, so it is divisible by 2.
What are the factors of 35072?
1, 2, 4, 8, 16, 32, 64, 128, 137, 256, 274, 548, 1096, 2192, 4384, 8768, 17536, 35072.
What is 35072 in binary?
1000100100000000 (hexadecimal 8900, octal 104400).
What is the square root of 35072?
About 187.2752, exactly 16√137.
Is 35072 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35072?
It is a composite number with 18 divisors.