The number 72340
72340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3617. Divisors (12): 1, 2, 4, 5, 10, 20, 3617, 7234, 14468, 18085, 36170, 72340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72340 is composite. Its prime factorisation is
- 3
The divisors add up to 151956; without 72340 itself that is 79616, so 72340 is abundant (79616 is more than 72340). Euler's totient φ(72340) = 28928 numbers up to 72340 share no factor with it.
- 4
The digits of 72340 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72340 = 2^{2} \times 5 \times 3617 \]72340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 151956 |
| Euler totient φ(n) | 28928 |
| Square | 5233075600 |
| Cube | 378560688904000 |
| Square root | 268.960964 (= 2√18085) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.234 × |
72340 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and forty |
| Binary (base 2) | 10001101010010100 |
| Octal (base 8) | 215224 |
| Hexadecimal (base 16) | 11A94 |
| Base 3 | 10200020021 |
| As time | 72340 seconds = 20 h 5 min 40 s |
Is 72340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72340 ÷ 2 = 36170) | 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 (72340 ÷ 4 = 18085) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72340 ÷ 5 = 14468) | 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 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 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 | Yes (72340 ÷ 10 = 7234) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 72340 a prime number?
No. 72340 = × 5 × 3617, so it is divisible by 2.
What are the factors of 72340?
1, 2, 4, 5, 10, 20, 3617, 7234, 14468, 18085, 36170, 72340.
What is 72340 in binary?
10001101010010100 (hexadecimal 11A94, octal 215224).
What is the square root of 72340?
About 268.9610, exactly 2√18085.
Is 72340 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72340?
It is a composite number with 12 divisors.