The number 35002
35002 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 37 × 43. Divisors (16): 1, 2, 11, 22, 37, 43, 74, 86, 407, 473, 814, 946, 1591, 3182, 17501, 35002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35002 is composite. Its prime factorisation is
- 3
The divisors add up to 60192; without 35002 itself that is 25190, so 35002 is deficient (25190 is less than 35002). Euler's totient φ(35002) = 15120 numbers up to 35002 share no factor with it.
- 4
The digits of 35002 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35002 = 2 \times 11 \times 37 \times 43 \]
35002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60192 |
| Euler totient φ(n) | 15120 |
| Square | 1225140004 |
| Cube | 42882350420008 |
| Square root | 187.088214 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5002 × |
35002 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and two |
| Binary (base 2) | 1000100010111010 |
| Octal (base 8) | 104272 |
| Hexadecimal (base 16) | 88BA |
| Base 3 | 1210000101 |
| As time | 35002 seconds = 9 h 43 min 22 s |
Is 35002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35002 ÷ 2 = 17501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (35002 ÷ 11 = 3182) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35002 a prime number?
No. 35002 = 2 × 11 × 37 × 43, so it is divisible by 2.
What are the factors of 35002?
1, 2, 11, 22, 37, 43, 74, 86, 407, 473, 814, 946, 1591, 3182, 17501, 35002.
What is 35002 in binary?
1000100010111010 (hexadecimal 88BA, octal 104272).
What is the square root of 35002?
About 187.0882.
Is 35002 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 35002?
It is a composite number with 16 divisors.