The number 37472
37472 is a composite number with 12 divisors. Its prime factorisation is × 1171. Divisors (12): 1, 2, 4, 8, 16, 32, 1171, 2342, 4684, 9368, 18736, 37472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37472 is composite. Its prime factorisation is
- 3
The divisors add up to 73836; without 37472 itself that is 36364, so 37472 is deficient (36364 is less than 37472). Euler's totient φ(37472) = 18720 numbers up to 37472 share no factor with it.
- 4
The digits of 37472 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37472 = 2^{5} \times 1171 \]37472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73836 |
| Euler totient φ(n) | 18720 |
| Square | 1404150784 |
| Cube | 52616338178048 |
| Square root | 193.576858 (= 4√2342) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7472 × |
37472 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and seventy-two |
| Binary (base 2) | 1001001001100000 |
| Octal (base 8) | 111140 |
| Hexadecimal (base 16) | 9260 |
| Base 3 | 1220101212 |
| As time | 37472 seconds = 10 h 24 min 32 s |
Is 37472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37472 ÷ 2 = 18736) | 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 (37472 ÷ 4 = 9368) | 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 1) | 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 (37472 ÷ 8 = 4684) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 37472 a prime number?
No. 37472 = × 1171, so it is divisible by 2.
What are the factors of 37472?
1, 2, 4, 8, 16, 32, 1171, 2342, 4684, 9368, 18736, 37472.
What is 37472 in binary?
1001001001100000 (hexadecimal 9260, octal 111140).
What is the square root of 37472?
About 193.5769, exactly 4√2342.
Is 37472 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37472?
It is a composite number with 12 divisors.