The number 72102
72102 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 61 × 197. Divisors (16): 1, 2, 3, 6, 61, 122, 183, 197, 366, 394, 591, 1182, 12017, 24034, 36051, 72102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72102 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72102 is composite. Its prime factorisation is
- 3
The divisors add up to 147312; without 72102 itself that is 75210, so 72102 is abundant (75210 is more than 72102). Euler's totient φ(72102) = 23520 numbers up to 72102 share no factor with it.
- 4
The digits of 72102 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72102 = 2 \times 3 \times 61 \times 197 \]
72102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 147312 |
| Euler totient φ(n) | 23520 |
| Square | 5198698404 |
| Cube | 374836552325208 |
| Square root | 268.518156 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2102 × |
72102 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and two |
| Binary (base 2) | 10001100110100110 |
| Octal (base 8) | 214646 |
| Hexadecimal (base 16) | 119A6 |
| Base 3 | 10122220110 |
| As time | 72102 seconds = 20 h 1 min 42 s |
Is 72102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72102 ÷ 2 = 36051) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72102 ÷ 3 = 24034) | 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 (72102 ÷ 6 = 12017) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 8) | 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 72102 a prime number?
No. 72102 = 2 × 3 × 61 × 197, so it is divisible by 2.
What are the factors of 72102?
1, 2, 3, 6, 61, 122, 183, 197, 366, 394, 591, 1182, 12017, 24034, 36051, 72102.
What is 72102 in binary?
10001100110100110 (hexadecimal 119A6, octal 214646).
What is the square root of 72102?
About 268.5182.
Is 72102 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 72102?
It is a composite number with 16 divisors.