The number 37072
37072 is a composite number with 20 divisors. Its prime factorisation is × 7 × 331. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 331, 662, 1324, 2317, 2648, 4634 … 37072.
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How to work it out
- 1
37072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37072 is composite. Its prime factorisation is
- 3
The divisors add up to 82336; without 37072 itself that is 45264, so 37072 is abundant (45264 is more than 37072). Euler's totient φ(37072) = 15840 numbers up to 37072 share no factor with it.
- 4
The digits of 37072 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37072 = 2^{4} \times 7 \times 331 \]37072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 82336 |
| Euler totient φ(n) | 15840 |
| Square | 1374333184 |
| Cube | 50949279797248 |
| Square root | 192.540905 (= 4√2317) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7072 × |
37072 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and seventy-two |
| Binary (base 2) | 1001000011010000 |
| Octal (base 8) | 110320 |
| Hexadecimal (base 16) | 90D0 |
| Base 3 | 1212212001 |
| As time | 37072 seconds = 10 h 17 min 52 s |
Is 37072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37072 ÷ 2 = 18536) | 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 (37072 ÷ 4 = 9268) | 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 | Yes (37072 ÷ 7 = 5296) | 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 (37072 ÷ 8 = 4634) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 37072 a prime number?
No. 37072 = × 7 × 331, so it is divisible by 2.
What are the factors of 37072?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 331, 662, 1324, 2317, 2648, 4634, 5296, 9268, 18536, 37072.
What is 37072 in binary?
1001000011010000 (hexadecimal 90D0, octal 110320).
What is the square root of 37072?
About 192.5409, exactly 4√2317.
Is 37072 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37072?
It is a composite number with 20 divisors.