The number 72113
72113 is a composite number with 4 divisors. Its prime factorisation is 37 × 1949. Divisors (4): 1, 37, 1949, 72113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72113: a semiprime: 37 × 1949, the product of two primes.
- 2
72113 is composite. Its prime factorisation is
- 3
The divisors add up to 74100; without 72113 itself that is 1987, so 72113 is deficient (1987 is less than 72113). Euler's totient φ(72113) = 70128 numbers up to 72113 share no factor with it.
- 4
The digits of 72113 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72113 = 37 \times 1949 \]
72113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 74100 |
| Euler totient φ(n) | 70128 |
| Square | 5200284769 |
| Cube | 375008135546897 |
| Square root | 268.538638 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2113 × |
72113 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and thirteen |
| Binary (base 2) | 10001100110110001 |
| Octal (base 8) | 214661 |
| Hexadecimal (base 16) | 119B1 |
| Base 3 | 10122220212 |
| As time | 72113 seconds = 20 h 1 min 53 s |
Is 72113 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 6) | 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 5) | 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 8) | 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 72113 a prime number?
No. 72113 = 37 × 1949, so it is divisible by 37.
What are the factors of 72113?
1, 37, 1949, 72113.
What is 72113 in binary?
10001100110110001 (hexadecimal 119B1, octal 214661).
What is the square root of 72113?
About 268.5386.
Is 72113 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72113?
72113 is a semiprime: 37 × 1949, the product of two primes.