The number 75513
75513 is a composite number with 4 divisors. Its prime factorisation is 3 × 25171. Divisors (4): 1, 3, 25171, 75513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75513: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 25171, the product of two primes.
- 2
75513 is composite. Its prime factorisation is
- 3
The divisors add up to 100688; without 75513 itself that is 25175, so 75513 is deficient (25175 is less than 75513). Euler's totient φ(75513) = 50340 numbers up to 75513 share no factor with it.
- 4
The digits of 75513 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75513 = 3 \times 25171 \]
75513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 100688 |
| Euler totient φ(n) | 50340 |
| Square | 5702213169 |
| Cube | 430591223030697 |
| Square root | 274.796288 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.5513 × |
75513 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand five hundred and thirteen |
| Binary (base 2) | 10010011011111001 |
| Octal (base 8) | 223371 |
| Hexadecimal (base 16) | 126F9 |
| Base 3 | 10211120210 |
| As time | 75513 seconds = 20 h 58 min 33 s |
Is 75513 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 (75513 ÷ 3 = 25171) | 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 3) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75513 a prime number?
No. 75513 = 3 × 25171, so it is divisible by 3.
What are the factors of 75513?
1, 3, 25171, 75513.
What is 75513 in binary?
10010011011111001 (hexadecimal 126F9, octal 223371).
What is the square root of 75513?
About 274.7963.
Is 75513 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 75513?
75513 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 25171, the product of two primes.