The number 73672
73672 is a composite number with 8 divisors. Its prime factorisation is × 9209. Divisors (8): 1, 2, 4, 8, 9209, 18418, 36836, 73672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73672 is composite. Its prime factorisation is
- 3
The divisors add up to 138150; without 73672 itself that is 64478, so 73672 is deficient (64478 is less than 73672). Euler's totient φ(73672) = 36832 numbers up to 73672 share no factor with it.
- 4
The digits of 73672 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73672 = 2^{3} \times 9209 \]73672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 138150 |
| Euler totient φ(n) | 36832 |
| Square | 5427563584 |
| Cube | 399859464360448 |
| Square root | 271.425865 (= 2√18418) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.3672 × |
73672 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and seventy-two |
| Binary (base 2) | 10001111111001000 |
| Octal (base 8) | 217710 |
| Hexadecimal (base 16) | 11FC8 |
| Base 3 | 10202001121 |
| As time | 73672 seconds = 20 h 27 min 52 s |
Is 73672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73672 ÷ 2 = 36836) | 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 (73672 ÷ 4 = 18418) | 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 | Yes (73672 ÷ 8 = 9209) | 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 5) | 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 73672 a prime number?
No. 73672 = × 9209, so it is divisible by 2.
What are the factors of 73672?
1, 2, 4, 8, 9209, 18418, 36836, 73672.
What is 73672 in binary?
10001111111001000 (hexadecimal 11FC8, octal 217710).
What is the square root of 73672?
About 271.4259, exactly 2√18418.
Is 73672 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73672?
It is a composite number with 8 divisors.