The number 72702
72702 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 577. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 577, 1154, 1731, 3462 … 72702.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72702: a Harshad number: divisible by its digit sum 18.
- 2
72702 is composite. Its prime factorisation is
- 3
The divisors add up to 180336; without 72702 itself that is 107634, so 72702 is abundant (107634 is more than 72702). Euler's totient φ(72702) = 20736 numbers up to 72702 share no factor with it.
- 4
The digits of 72702 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72702 = 2 \times 3^{2} \times 7 \times 577 \]72702 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 180336 |
| Euler totient φ(n) | 20736 |
| Square | 5285580804 |
| Cube | 384272295612408 |
| Square root | 269.633084 (= 3√8078) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.2702 × |
72702 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and two |
| Binary (base 2) | 10001101111111110 |
| Octal (base 8) | 215776 |
| Hexadecimal (base 16) | 11BFE |
| Base 3 | 10200201200 |
| As time | 72702 seconds = 20 h 11 min 42 s |
Is 72702 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72702 ÷ 2 = 36351) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72702 ÷ 3 = 24234) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72702 ÷ 6 = 12117) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72702 ÷ 7 = 10386) | 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 | Yes (72702 ÷ 9 = 8078) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72702 a prime number?
No. 72702 = 2 × × 7 × 577, so it is divisible by 2.
What are the factors of 72702?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 577, 1154, 1731, 3462, 4039, 5193, 8078, 10386, 12117, 24234, 36351, 72702.
What is 72702 in binary?
10001101111111110 (hexadecimal 11BFE, octal 215776).
What is the square root of 72702?
About 269.6331, exactly 3√8078.
Is 72702 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72702?
72702 is a Harshad number: divisible by its digit sum 18.