The number 3507
3507 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 167. Divisors (8): 1, 3, 7, 21, 167, 501, 1169, 3507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3507 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3507 is composite. Its prime factorisation is
- 3
The divisors add up to 5376; without 3507 itself that is 1869, so 3507 is deficient (1869 is less than 3507). Euler's totient φ(3507) = 1992 numbers up to 3507 share no factor with it.
- 4
The digits of 3507 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3507 = 3 \times 7 \times 167 \]
3507 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5376 |
| Euler totient φ(n) | 1992 |
| Square | 12299049 |
| Cube | 43132764843 |
| Square root | 59.219929 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.507 × |
3507 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and seven |
| Roman numerals | MMMDVII |
| Binary (base 2) | 110110110011 |
| Octal (base 8) | 6663 |
| Hexadecimal (base 16) | DB3 |
| Base 3 | 11210220 |
| As time | 3507 seconds = 58 min 27 s |
Is 3507 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3507 ÷ 3 = 1169) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3507 ÷ 7 = 501) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3507 a prime number?
No. 3507 = 3 × 7 × 167, so it is divisible by 3.
What are the factors of 3507?
1, 3, 7, 21, 167, 501, 1169, 3507.
What is 3507 in binary?
110110110011 (hexadecimal DB3, octal 6663).
What is the square root of 3507?
About 59.2199.
What is 3507 in Roman numerals?
MMMDVII.
Is 3507 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3507?
It is a composite number with 8 divisors.