The number 3506
3506 is a composite number with 4 divisors. Its prime factorisation is 2 × 1753. Divisors (4): 1, 2, 1753, 3506.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3506: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1753, the product of two primes.
- 2
3506 is composite. Its prime factorisation is
- 3
The divisors add up to 5262; without 3506 itself that is 1756, so 3506 is deficient (1756 is less than 3506). Euler's totient φ(3506) = 1752 numbers up to 3506 share no factor with it.
- 4
The digits of 3506 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3506 = 2 \times 1753 \]
3506 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5262 |
| Euler totient φ(n) | 1752 |
| Square | 12292036 |
| Cube | 43095878216 |
| Square root | 59.211485 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.506 × |
3506 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and six |
| Roman numerals | MMMDVI |
| Binary (base 2) | 110110110010 |
| Octal (base 8) | 6662 |
| Hexadecimal (base 16) | DB2 |
| Base 3 | 11210212 |
| As time | 3506 seconds = 58 min 26 s |
Is 3506 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3506 ÷ 2 = 1753) | 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 2) | 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 8) | 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 3506 a prime number?
No. 3506 = 2 × 1753, so it is divisible by 2.
What are the factors of 3506?
1, 2, 1753, 3506.
What is 3506 in binary?
110110110010 (hexadecimal DB2, octal 6662).
What is the square root of 3506?
About 59.2115.
What is 3506 in Roman numerals?
MMMDVI.
Is 3506 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3506?
3506 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 1753, the product of two primes.