The number 74513
74513 is a composite number with 4 divisors. Its prime factorisation is 269 × 277. Divisors (4): 1, 269, 277, 74513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74513: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 269 × 277, the product of two primes.
- 2
74513 is composite. Its prime factorisation is
- 3
The divisors add up to 75060; without 74513 itself that is 547, so 74513 is deficient (547 is less than 74513). Euler's totient φ(74513) = 73968 numbers up to 74513 share no factor with it.
- 4
The digits of 74513 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74513 = 269 \times 277 \]
74513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 75060 |
| Euler totient φ(n) | 73968 |
| Square | 5552187169 |
| Cube | 413710122523697 |
| Square root | 272.970694 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4513 × |
74513 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred and thirteen |
| Binary (base 2) | 10010001100010001 |
| Octal (base 8) | 221421 |
| Hexadecimal (base 16) | 12311 |
| Base 3 | 10210012202 |
| As time | 74513 seconds = 20 h 41 min 53 s |
Is 74513 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74513 a prime number?
No. 74513 = 269 × 277, so it is divisible by 269.
What are the factors of 74513?
1, 269, 277, 74513.
What is 74513 in binary?
10010001100010001 (hexadecimal 12311, octal 221421).
What is the square root of 74513?
About 272.9707.
Is 74513 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74513?
74513 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 269 × 277, the product of two primes.