The number 72342
72342 is a composite number with 12 divisors. Its prime factorisation is 2 × × 4019. Divisors (12): 1, 2, 3, 6, 9, 18, 4019, 8038, 12057, 24114, 36171, 72342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72342: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
72342 is composite. Its prime factorisation is
- 3
The divisors add up to 156780; without 72342 itself that is 84438, so 72342 is abundant (84438 is more than 72342). Euler's totient φ(72342) = 24108 numbers up to 72342 share no factor with it.
- 4
The digits of 72342 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72342 = 2 \times 3^{2} \times 4019 \]72342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 156780 |
| Euler totient φ(n) | 24108 |
| Square | 5233364964 |
| Cube | 378592088225688 |
| Square root | 268.964682 (= 3√8038) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2342 × |
72342 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and forty-two |
| Binary (base 2) | 10001101010010110 |
| Octal (base 8) | 215226 |
| Hexadecimal (base 16) | 11A96 |
| Base 3 | 10200020100 |
| As time | 72342 seconds = 20 h 5 min 42 s |
Is 72342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72342 ÷ 2 = 36171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72342 ÷ 3 = 24114) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (72342 ÷ 6 = 12057) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72342 ÷ 9 = 8038) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72342 a prime number?
No. 72342 = 2 × × 4019, so it is divisible by 2.
What are the factors of 72342?
1, 2, 3, 6, 9, 18, 4019, 8038, 12057, 24114, 36171, 72342.
What is 72342 in binary?
10001101010010110 (hexadecimal 11A96, octal 215226).
What is the square root of 72342?
About 268.9647, exactly 3√8038.
Is 72342 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72342?
72342 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.