The number 37272
37272 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1553. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1553, 3106, 4659, 6212, 9318, 12424, 18636, 37272.
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How to work it out
- 1
37272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37272 is composite. Its prime factorisation is
- 3
The divisors add up to 93240; without 37272 itself that is 55968, so 37272 is abundant (55968 is more than 37272). Euler's totient φ(37272) = 12416 numbers up to 37272 share no factor with it.
- 4
The digits of 37272 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37272 = 2^{3} \times 3 \times 1553 \]37272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93240 |
| Euler totient φ(n) | 12416 |
| Square | 1389201984 |
| Cube | 51778336347648 |
| Square root | 193.059576 (= 2√9318) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7272 × |
37272 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and seventy-two |
| Binary (base 2) | 1001000110011000 |
| Octal (base 8) | 110630 |
| Hexadecimal (base 16) | 9198 |
| Base 3 | 1220010110 |
| As time | 37272 seconds = 10 h 21 min 12 s |
Is 37272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37272 ÷ 2 = 18636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37272 ÷ 3 = 12424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37272 ÷ 4 = 9318) | 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 (37272 ÷ 6 = 6212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (37272 ÷ 8 = 4659) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37272 ÷ 12 = 3106) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37272 a prime number?
No. 37272 = × 3 × 1553, so it is divisible by 2.
What are the factors of 37272?
1, 2, 3, 4, 6, 8, 12, 24, 1553, 3106, 4659, 6212, 9318, 12424, 18636, 37272.
What is 37272 in binary?
1001000110011000 (hexadecimal 9198, octal 110630).
What is the square root of 37272?
About 193.0596, exactly 2√9318.
Is 37272 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 37272?
It is a composite number with 16 divisors.