The number 72133
72133 is a composite number with 4 divisors. Its prime factorisation is 53 × 1361. Divisors (4): 1, 53, 1361, 72133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72133: a semiprime: 53 × 1361, the product of two primes.
- 2
72133 is composite. Its prime factorisation is
- 3
The divisors add up to 73548; without 72133 itself that is 1415, so 72133 is deficient (1415 is less than 72133). Euler's totient φ(72133) = 70720 numbers up to 72133 share no factor with it.
- 4
The digits of 72133 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72133 = 53 \times 1361 \]
72133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 73548 |
| Euler totient φ(n) | 70720 |
| Square | 5203169689 |
| Cube | 375320239176637 |
| Square root | 268.575874 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.2133 × |
72133 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and thirty-three |
| Binary (base 2) | 10001100111000101 |
| Octal (base 8) | 214705 |
| Hexadecimal (base 16) | 119C5 |
| Base 3 | 10122221121 |
| As time | 72133 seconds = 20 h 2 min 13 s |
Is 72133 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 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 72133 a prime number?
No. 72133 = 53 × 1361, so it is divisible by 53.
What are the factors of 72133?
1, 53, 1361, 72133.
What is 72133 in binary?
10001100111000101 (hexadecimal 119C5, octal 214705).
What is the square root of 72133?
About 268.5759.
Is 72133 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72133?
72133 is a semiprime: 53 × 1361, the product of two primes.