The number 7272
7272 is a composite number with 24 divisors. Its prime factorisation is × × 101. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404 … 7272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7272: a Harshad number: divisible by its digit sum 18.
- 2
7272 is composite. Its prime factorisation is
- 3
The divisors add up to 19890; without 7272 itself that is 12618, so 7272 is abundant (12618 is more than 7272). Euler's totient φ(7272) = 2400 numbers up to 7272 share no factor with it.
- 4
The digits of 7272 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 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7272 = 2^{3} \times 3^{2} \times 101 \]7272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 19890 |
| Euler totient φ(n) | 2400 |
| Square | 52881984 |
| Cube | 384557787648 |
| Square root | 85.276022 (= 6√202) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 18 |
| Scientific notation | 7.272 × |
7272 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and seventy-two |
| Binary (base 2) | 1110001101000 |
| Octal (base 8) | 16150 |
| Hexadecimal (base 16) | 1C68 |
| Base 3 | 100222100 |
| As time | 7272 seconds = 2 h 1 min 12 s |
Is 7272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7272 ÷ 2 = 3636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7272 ÷ 3 = 2424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7272 ÷ 4 = 1818) | 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 (7272 ÷ 6 = 1212) | 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 | Yes (7272 ÷ 8 = 909) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7272 ÷ 9 = 808) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7272 ÷ 12 = 606) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7272 a prime number?
No. 7272 = × × 101, so it is divisible by 2.
What are the factors of 7272?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272.
What is 7272 in binary?
1110001101000 (hexadecimal 1C68, octal 16150).
What is the square root of 7272?
About 85.2760, exactly 6√202.
Is 7272 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7272?
7272 is a Harshad number: divisible by its digit sum 18.