The number 37952
37952 is a composite number with 14 divisors. Its prime factorisation is × 593. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 593, 1186, 2372, 4744, 9488, 18976, 37952.
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How to work it out
- 1
37952 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37952 is composite. Its prime factorisation is
- 3
The divisors add up to 75438; without 37952 itself that is 37486, so 37952 is deficient (37486 is less than 37952). Euler's totient φ(37952) = 18944 numbers up to 37952 share no factor with it.
- 4
The digits of 37952 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37952 = 2^{6} \times 593 \]37952 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 75438 |
| Euler totient φ(n) | 18944 |
| Square | 1440354304 |
| Cube | 54664326545408 |
| Square root | 194.812731 (= 8√593) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.7952 × |
37952 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and fifty-two |
| Binary (base 2) | 1001010001000000 |
| Octal (base 8) | 112100 |
| Hexadecimal (base 16) | 9440 |
| Base 3 | 1221001122 |
| As time | 37952 seconds = 10 h 32 min 32 s |
Is 37952 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37952 ÷ 2 = 18976) | 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 (37952 ÷ 4 = 9488) | 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 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 (37952 ÷ 8 = 4744) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37952 a prime number?
No. 37952 = × 593, so it is divisible by 2.
What are the factors of 37952?
1, 2, 4, 8, 16, 32, 64, 593, 1186, 2372, 4744, 9488, 18976, 37952.
What is 37952 in binary?
1001010001000000 (hexadecimal 9440, octal 112100).
What is the square root of 37952?
About 194.8127, exactly 8√593.
Is 37952 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 37952?
It is a composite number with 14 divisors.