The number 72710
72710 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 661. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 661, 1322, 3305, 6610, 7271, 14542, 36355, 72710.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72710: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72710 is composite. Its prime factorisation is
- 3
The divisors add up to 142992; without 72710 itself that is 70282, so 72710 is deficient (70282 is less than 72710). Euler's totient φ(72710) = 26400 numbers up to 72710 share no factor with it.
- 4
The digits of 72710 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72710 = 2 \times 5 \times 11 \times 661 \]
72710 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142992 |
| Euler totient φ(n) | 26400 |
| Square | 5286744100 |
| Cube | 384399163511000 |
| Square root | 269.647919 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.271 × |
72710 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and ten |
| Binary (base 2) | 10001110000000110 |
| Octal (base 8) | 216006 |
| Hexadecimal (base 16) | 11C06 |
| Base 3 | 10200201222 |
| As time | 72710 seconds = 20 h 11 min 50 s |
Is 72710 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72710 ÷ 2 = 36355) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72710 ÷ 5 = 14542) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72710 ÷ 10 = 7271) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72710 ÷ 11 = 6610) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72710 a prime number?
No. 72710 = 2 × 5 × 11 × 661, so it is divisible by 2.
What are the factors of 72710?
1, 2, 5, 10, 11, 22, 55, 110, 661, 1322, 3305, 6610, 7271, 14542, 36355, 72710.
What is 72710 in binary?
10001110000000110 (hexadecimal 11C06, octal 216006).
What is the square root of 72710?
About 269.6479.
Is 72710 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72710?
72710 is a happy number: repeatedly adding the squares of its digits reaches 1.