The number 75472
75472 is a composite number with 20 divisors. Its prime factorisation is × 53 × 89. Divisors (20): 1, 2, 4, 8, 16, 53, 89, 106, 178, 212, 356, 424, 712, 848, 1424, 4717 … 75472.
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How to work it out
- 1
75472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75472 is composite. Its prime factorisation is
- 3
The divisors add up to 150660; without 75472 itself that is 75188, so 75472 is deficient (75188 is less than 75472). Euler's totient φ(75472) = 36608 numbers up to 75472 share no factor with it.
- 4
The digits of 75472 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75472 = 2^{4} \times 53 \times 89 \]75472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 150660 |
| Euler totient φ(n) | 36608 |
| Square | 5696022784 |
| Cube | 429890231554048 |
| Square root | 274.721677 (= 4√4717) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5472 × |
75472 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand four hundred and seventy-two |
| Binary (base 2) | 10010011011010000 |
| Octal (base 8) | 223320 |
| Hexadecimal (base 16) | 126D0 |
| Base 3 | 10211112021 |
| As time | 75472 seconds = 20 h 57 min 52 s |
Is 75472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75472 ÷ 2 = 37736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (75472 ÷ 4 = 18868) | 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 4) | 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 | Yes (75472 ÷ 8 = 9434) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75472 a prime number?
No. 75472 = × 53 × 89, so it is divisible by 2.
What are the factors of 75472?
1, 2, 4, 8, 16, 53, 89, 106, 178, 212, 356, 424, 712, 848, 1424, 4717, 9434, 18868, 37736, 75472.
What is 75472 in binary?
10010011011010000 (hexadecimal 126D0, octal 223320).
What is the square root of 75472?
About 274.7217, exactly 4√4717.
Is 75472 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 75472?
It is a composite number with 20 divisors.