The number 72414
72414 is a composite number with 24 divisors. Its prime factorisation is 2 × × 149. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 149, 162, 243, 298, 447, 486, 894 … 72414.
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How to work it out
- 1
What is special about 72414: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
72414 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 72414 itself that is 91386, so 72414 is abundant (91386 is more than 72414). Euler's totient φ(72414) = 23976 numbers up to 72414 share no factor with it.
- 4
The digits of 72414 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72414 = 2 \times 3^{5} \times 149 \]72414 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 23976 |
| Square | 5243787396 |
| Cube | 379723620493944 |
| Square root | 269.098495 (= 9√894) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2414 × |
72414 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and fourteen |
| Binary (base 2) | 10001101011011110 |
| Octal (base 8) | 215336 |
| Hexadecimal (base 16) | 11ADE |
| Base 3 | 10200100000 |
| As time | 72414 seconds = 20 h 6 min 54 s |
Is 72414 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72414 ÷ 2 = 36207) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72414 ÷ 3 = 24138) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72414 ÷ 6 = 12069) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (72414 ÷ 9 = 8046) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 72414 a prime number?
No. 72414 = 2 × × 149, so it is divisible by 2.
What are the factors of 72414?
1, 2, 3, 6, 9, 18, 27, 54, 81, 149, 162, 243, 298, 447, 486, 894, 1341, 2682, 4023, 8046, 12069, 24138, 36207, 72414.
What is 72414 in binary?
10001101011011110 (hexadecimal 11ADE, octal 215336).
What is the square root of 72414?
About 269.0985, exactly 9√894.
Is 72414 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 72414?
72414 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.