The number 72213
72213 is a composite number with 4 divisors. Its prime factorisation is 3 × 24071. Divisors (4): 1, 3, 24071, 72213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72213: a semiprime: 3 × 24071, the product of two primes.
- 2
72213 is composite. Its prime factorisation is
- 3
The divisors add up to 96288; without 72213 itself that is 24075, so 72213 is deficient (24075 is less than 72213). Euler's totient φ(72213) = 48140 numbers up to 72213 share no factor with it.
- 4
The digits of 72213 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72213 = 3 \times 24071 \]
72213 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 96288 |
| Euler totient φ(n) | 48140 |
| Square | 5214717369 |
| Cube | 376570385367597 |
| Square root | 268.724766 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2213 × |
72213 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and thirteen |
| Binary (base 2) | 10001101000010101 |
| Octal (base 8) | 215025 |
| Hexadecimal (base 16) | 11A15 |
| Base 3 | 10200001120 |
| As time | 72213 seconds = 20 h 3 min 33 s |
Is 72213 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 (72213 ÷ 3 = 24071) | 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 1) | 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 6) | 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 72213 a prime number?
No. 72213 = 3 × 24071, so it is divisible by 3.
What are the factors of 72213?
1, 3, 24071, 72213.
What is 72213 in binary?
10001101000010101 (hexadecimal 11A15, octal 215025).
What is the square root of 72213?
About 268.7248.
Is 72213 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 72213?
72213 is a semiprime: 3 × 24071, the product of two primes.