The number 35006
35006 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 761. Divisors (8): 1, 2, 23, 46, 761, 1522, 17503, 35006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35006 is composite. Its prime factorisation is
- 3
The divisors add up to 54864; without 35006 itself that is 19858, so 35006 is deficient (19858 is less than 35006). Euler's totient φ(35006) = 16720 numbers up to 35006 share no factor with it.
- 4
The digits of 35006 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35006 = 2 \times 23 \times 761 \]
35006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54864 |
| Euler totient φ(n) | 16720 |
| Square | 1225420036 |
| Cube | 42897053780216 |
| Square root | 187.098904 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.5006 × |
35006 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and six |
| Binary (base 2) | 1000100010111110 |
| Octal (base 8) | 104276 |
| Hexadecimal (base 16) | 88BE |
| Base 3 | 1210000112 |
| As time | 35006 seconds = 9 h 43 min 26 s |
Is 35006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35006 ÷ 2 = 17503) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35006 a prime number?
No. 35006 = 2 × 23 × 761, so it is divisible by 2.
What are the factors of 35006?
1, 2, 23, 46, 761, 1522, 17503, 35006.
What is 35006 in binary?
1000100010111110 (hexadecimal 88BE, octal 104276).
What is the square root of 35006?
About 187.0989.
Is 35006 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 35006?
35006 is a happy number: repeatedly adding the squares of its digits reaches 1.