The number 7472
7472 is a composite number with 10 divisors. Its prime factorisation is × 467. Divisors (10): 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7472 is composite. Its prime factorisation is
- 3
The divisors add up to 14508; without 7472 itself that is 7036, so 7472 is deficient (7036 is less than 7472). Euler's totient φ(7472) = 3728 numbers up to 7472 share no factor with it.
- 4
The digits of 7472 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7472 = 2^{4} \times 467 \]7472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 14508 |
| Euler totient φ(n) | 3728 |
| Square | 55830784 |
| Cube | 417167618048 |
| Square root | 86.440731 (= 4√467) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 7.472 × |
7472 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and seventy-two |
| Binary (base 2) | 1110100110000 |
| Octal (base 8) | 16460 |
| Hexadecimal (base 16) | 1D30 |
| Base 3 | 101020202 |
| As time | 7472 seconds = 2 h 4 min 32 s |
Is 7472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7472 ÷ 2 = 3736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7472 ÷ 4 = 1868) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (7472 ÷ 8 = 934) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7472 a prime number?
No. 7472 = × 467, so it is divisible by 2.
What are the factors of 7472?
1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472.
What is 7472 in binary?
1110100110000 (hexadecimal 1D30, octal 16460).
What is the square root of 7472?
About 86.4407, exactly 4√467.
Is 7472 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 7472?
It is a composite number with 10 divisors.