The number 7520
7520 is a composite number with 24 divisors. Its prime factorisation is × 5 × 47. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235 … 7520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7520 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 7520 itself that is 10624, so 7520 is abundant (10624 is more than 7520). Euler's totient φ(7520) = 2944 numbers up to 7520 share no factor with it.
- 4
The digits of 7520 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7520 = 2^{5} \times 5 \times 47 \]7520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 2944 |
| Square | 56550400 |
| Cube | 425259008000 |
| Square root | 86.717934 (= 4√470) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.52 × |
7520 in other forms
| Form | Value |
|---|---|
| In words | seven thousand five hundred and twenty |
| Binary (base 2) | 1110101100000 |
| Octal (base 8) | 16540 |
| Hexadecimal (base 16) | 1D60 |
| Base 3 | 101022112 |
| As time | 7520 seconds = 2 h 5 min 20 s |
Is 7520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7520 ÷ 2 = 3760) | 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 | Yes (7520 ÷ 4 = 1880) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7520 ÷ 5 = 1504) | 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 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 | Yes (7520 ÷ 8 = 940) | 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 | Yes (7520 ÷ 10 = 752) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7520 a prime number?
No. 7520 = × 5 × 47, so it is divisible by 2.
What are the factors of 7520?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 80, 94, 160, 188, 235, 376, 470, 752, 940, 1504, 1880, 3760, 7520.
What is 7520 in binary?
1110101100000 (hexadecimal 1D60, octal 16540).
What is the square root of 7520?
About 86.7179, exactly 4√470.
Is 7520 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7520?
It is a composite number with 24 divisors.