The number 72409
72409 is a composite number with 8 divisors. Its prime factorisation is 19 × 37 × 103. Divisors (8): 1, 19, 37, 103, 703, 1957, 3811, 72409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72409 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72409 is composite. Its prime factorisation is
- 3
The divisors add up to 79040; without 72409 itself that is 6631, so 72409 is deficient (6631 is less than 72409). Euler's totient φ(72409) = 66096 numbers up to 72409 share no factor with it.
- 4
The digits of 72409 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72409 = 19 \times 37 \times 103 \]
72409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79040 |
| Euler totient φ(n) | 66096 |
| Square | 5243063281 |
| Cube | 379644969113929 |
| Square root | 269.089205 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.2409 × |
72409 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and nine |
| Binary (base 2) | 10001101011011001 |
| Octal (base 8) | 215331 |
| Hexadecimal (base 16) | 11AD9 |
| Base 3 | 10200022211 |
| As time | 72409 seconds = 20 h 6 min 49 s |
Is 72409 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 1) | 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 7) | 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 72409 a prime number?
No. 72409 = 19 × 37 × 103, so it is divisible by 19.
What are the factors of 72409?
1, 19, 37, 103, 703, 1957, 3811, 72409.
What is 72409 in binary?
10001101011011001 (hexadecimal 11AD9, octal 215331).
What is the square root of 72409?
About 269.0892.
Is 72409 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72409?
It is a composite number with 8 divisors.