The number 72468
72468 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 61. Divisors (48): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 61 … 72468.
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How to work it out
- 1
What is special about 72468: a Harshad number: divisible by its digit sum 27.
- 2
72468 is composite. Its prime factorisation is
- 3
The divisors add up to 208320; without 72468 itself that is 135852, so 72468 is abundant (135852 is more than 72468). Euler's totient φ(72468) = 21600 numbers up to 72468 share no factor with it.
- 4
The digits of 72468 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72468 = 2^{2} \times 3^{3} \times 11 \times 61 \]72468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 208320 |
| Euler totient φ(n) | 21600 |
| Square | 5251611024 |
| Cube | 380573747687232 |
| Square root | 269.198811 (= 6√2013) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2468 × |
72468 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and sixty-eight |
| Binary (base 2) | 10001101100010100 |
| Octal (base 8) | 215424 |
| Hexadecimal (base 16) | 11B14 |
| Base 3 | 10200102000 |
| As time | 72468 seconds = 20 h 7 min 48 s |
Is 72468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72468 ÷ 2 = 36234) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72468 ÷ 3 = 24156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72468 ÷ 4 = 18117) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72468 ÷ 6 = 12078) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72468 ÷ 9 = 8052) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72468 ÷ 11 = 6588) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72468 ÷ 12 = 6039) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72468 a prime number?
No. 72468 = × × 11 × 61, so it is divisible by 2.
What are the factors of 72468?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 61, 66, 99, 108, 122, 132, 183, 198, 244, 297, 366, 396, 549, 594, 671, 732, 1098, 1188, 1342, 1647, 2013, 2196, 2684, 3294, 4026, 6039, 6588, 8052, 12078, 18117, 24156, 36234, 72468.
What is 72468 in binary?
10001101100010100 (hexadecimal 11B14, octal 215424).
What is the square root of 72468?
About 269.1988, exactly 6√2013.
Is 72468 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72468?
72468 is a Harshad number: divisible by its digit sum 27.