The number 7501
7501 is a composite number with 4 divisors. Its prime factorisation is 13 × 577. Divisors (4): 1, 13, 577, 7501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7501: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 577, the product of two primes.
- 2
7501 is composite. Its prime factorisation is
- 3
The divisors add up to 8092; without 7501 itself that is 591, so 7501 is deficient (591 is less than 7501). Euler's totient φ(7501) = 6912 numbers up to 7501 share no factor with it.
- 4
The digits of 7501 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7501 = 13 \times 577 \]
7501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8092 |
| Euler totient φ(n) | 6912 |
| Square | 56265001 |
| Cube | 422043772501 |
| Square root | 86.608314 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 176 |
| Scientific notation | 7.501 × |
7501 in other forms
| Form | Value |
|---|---|
| In words | seven thousand five hundred and one |
| Binary (base 2) | 1110101001101 |
| Octal (base 8) | 16515 |
| Hexadecimal (base 16) | 1D4D |
| Base 3 | 101021211 |
| As time | 7501 seconds = 2 h 5 min 1 s |
Is 7501 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7501 a prime number?
No. 7501 = 13 × 577, so it is divisible by 13.
What are the factors of 7501?
1, 13, 577, 7501.
What is 7501 in binary?
1110101001101 (hexadecimal 1D4D, octal 16515).
What is the square root of 7501?
About 86.6083.
Is 7501 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7501?
7501 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 577, the product of two primes.