The number 72462
72462 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 929. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 929, 1858, 2787, 5574, 12077, 24154, 36231, 72462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72462: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72462 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 72462 itself that is 83778, so 72462 is abundant (83778 is more than 72462). Euler's totient φ(72462) = 22272 numbers up to 72462 share no factor with it.
- 4
The digits of 72462 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72462 = 2 \times 3 \times 13 \times 929 \]
72462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 22272 |
| Square | 5250741444 |
| Cube | 380479226515128 |
| Square root | 269.187667 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2462 × |
72462 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and sixty-two |
| Binary (base 2) | 10001101100001110 |
| Octal (base 8) | 215416 |
| Hexadecimal (base 16) | 11B0E |
| Base 3 | 10200101210 |
| As time | 72462 seconds = 20 h 7 min 42 s |
Is 72462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72462 ÷ 2 = 36231) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72462 ÷ 3 = 24154) | 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 (72462 ÷ 6 = 12077) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | 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 72462 a prime number?
No. 72462 = 2 × 3 × 13 × 929, so it is divisible by 2.
What are the factors of 72462?
1, 2, 3, 6, 13, 26, 39, 78, 929, 1858, 2787, 5574, 12077, 24154, 36231, 72462.
What is 72462 in binary?
10001101100001110 (hexadecimal 11B0E, octal 215416).
What is the square root of 72462?
About 269.1877.
Is 72462 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 72462?
72462 is a happy number: repeatedly adding the squares of its digits reaches 1.