The number 72049
72049 is a composite number with 4 divisors. Its prime factorisation is 109 × 661. Divisors (4): 1, 109, 661, 72049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72049: a semiprime: 109 × 661, the product of two primes.
- 2
72049 is composite. Its prime factorisation is
- 3
The divisors add up to 72820; without 72049 itself that is 771, so 72049 is deficient (771 is less than 72049). Euler's totient φ(72049) = 71280 numbers up to 72049 share no factor with it.
- 4
The digits of 72049 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72049 = 109 \times 661 \]
72049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 72820 |
| Euler totient φ(n) | 71280 |
| Square | 5191058401 |
| Cube | 374010566733649 |
| Square root | 268.419448 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2049 × |
72049 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and forty-nine |
| Binary (base 2) | 10001100101110001 |
| Octal (base 8) | 214561 |
| Hexadecimal (base 16) | 11971 |
| Base 3 | 10122211111 |
| As time | 72049 seconds = 20 h 0 min 49 s |
Is 72049 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72049 a prime number?
No. 72049 = 109 × 661, so it is divisible by 109.
What are the factors of 72049?
1, 109, 661, 72049.
What is 72049 in binary?
10001100101110001 (hexadecimal 11971, octal 214561).
What is the square root of 72049?
About 268.4194.
Is 72049 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72049?
72049 is a semiprime: 109 × 661, the product of two primes.