The number 72412
72412 is a composite number with 12 divisors. Its prime factorisation is × 43 × 421. Divisors (12): 1, 2, 4, 43, 86, 172, 421, 842, 1684, 18103, 36206, 72412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72412 is composite. Its prime factorisation is
- 3
The divisors add up to 129976; without 72412 itself that is 57564, so 72412 is deficient (57564 is less than 72412). Euler's totient φ(72412) = 35280 numbers up to 72412 share no factor with it.
- 4
The digits of 72412 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72412 = 2^{2} \times 43 \times 421 \]72412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 129976 |
| Euler totient φ(n) | 35280 |
| Square | 5243497744 |
| Cube | 379692158638528 |
| Square root | 269.094779 (= 2√18103) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2412 × |
72412 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and twelve |
| Binary (base 2) | 10001101011011100 |
| Octal (base 8) | 215334 |
| Hexadecimal (base 16) | 11ADC |
| Base 3 | 10200022221 |
| As time | 72412 seconds = 20 h 6 min 52 s |
Is 72412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72412 ÷ 2 = 36206) | 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 | Yes (72412 ÷ 4 = 18103) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72412 a prime number?
No. 72412 = × 43 × 421, so it is divisible by 2.
What are the factors of 72412?
1, 2, 4, 43, 86, 172, 421, 842, 1684, 18103, 36206, 72412.
What is 72412 in binary?
10001101011011100 (hexadecimal 11ADC, octal 215334).
What is the square root of 72412?
About 269.0948, exactly 2√18103.
Is 72412 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72412?
It is a composite number with 12 divisors.