The number 7506
7506 is a composite number with 16 divisors. Its prime factorisation is 2 × × 139. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7506: a Harshad number: divisible by its digit sum 18.
- 2
7506 is composite. Its prime factorisation is
- 3
The divisors add up to 16800; without 7506 itself that is 9294, so 7506 is abundant (9294 is more than 7506). Euler's totient φ(7506) = 2484 numbers up to 7506 share no factor with it.
- 4
The digits of 7506 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7506 = 2 \times 3^{3} \times 139 \]7506 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16800 |
| Euler totient φ(n) | 2484 |
| Square | 56340036 |
| Cube | 422888310216 |
| Square root | 86.637174 (= 3√834) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 163 |
| Scientific notation | 7.506 × |
7506 in other forms
| Form | Value |
|---|---|
| In words | seven thousand five hundred and six |
| Binary (base 2) | 1110101010010 |
| Octal (base 8) | 16522 |
| Hexadecimal (base 16) | 1D52 |
| Base 3 | 101022000 |
| As time | 7506 seconds = 2 h 5 min 6 s |
Is 7506 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7506 ÷ 2 = 3753) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7506 ÷ 3 = 2502) | 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 | Yes (7506 ÷ 6 = 1251) | 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 | Yes (7506 ÷ 9 = 834) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7506 a prime number?
No. 7506 = 2 × × 139, so it is divisible by 2.
What are the factors of 7506?
1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506.
What is 7506 in binary?
1110101010010 (hexadecimal 1D52, octal 16522).
What is the square root of 7506?
About 86.6372, exactly 3√834.
Is 7506 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7506?
7506 is a Harshad number: divisible by its digit sum 18.