The number 35372
35372 is a composite number with 12 divisors. Its prime factorisation is × 37 × 239. Divisors (12): 1, 2, 4, 37, 74, 148, 239, 478, 956, 8843, 17686, 35372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35372 is composite. Its prime factorisation is
- 3
The divisors add up to 63840; without 35372 itself that is 28468, so 35372 is deficient (28468 is less than 35372). Euler's totient φ(35372) = 17136 numbers up to 35372 share no factor with it.
- 4
The digits of 35372 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
\[ 35372 = 2^{2} \times 37 \times 239 \]35372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63840 |
| Euler totient φ(n) | 17136 |
| Square | 1251178384 |
| Cube | 44256681798848 |
| Square root | 188.074453 (= 2√8843) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5372 × |
35372 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand three hundred and seventy-two |
| Binary (base 2) | 1000101000101100 |
| Octal (base 8) | 105054 |
| Hexadecimal (base 16) | 8A2C |
| Base 3 | 1210112002 |
| As time | 35372 seconds = 9 h 49 min 32 s |
Is 35372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35372 ÷ 2 = 17686) | 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 (35372 ÷ 4 = 8843) | 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 1) | 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 4) | 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 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35372 a prime number?
No. 35372 = × 37 × 239, so it is divisible by 2.
What are the factors of 35372?
1, 2, 4, 37, 74, 148, 239, 478, 956, 8843, 17686, 35372.
What is 35372 in binary?
1000101000101100 (hexadecimal 8A2C, octal 105054).
What is the square root of 35372?
About 188.0745, exactly 2√8843.
Is 35372 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35372?
It is a composite number with 12 divisors.