The number 37948
37948 is a composite number with 12 divisors. Its prime factorisation is × 53 × 179. Divisors (12): 1, 2, 4, 53, 106, 179, 212, 358, 716, 9487, 18974, 37948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37948: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37948 is composite. Its prime factorisation is
- 3
The divisors add up to 68040; without 37948 itself that is 30092, so 37948 is deficient (30092 is less than 37948). Euler's totient φ(37948) = 18512 numbers up to 37948 share no factor with it.
- 4
The digits of 37948 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37948 = 2^{2} \times 53 \times 179 \]37948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68040 |
| Euler totient φ(n) | 18512 |
| Square | 1440050704 |
| Cube | 54647044115392 |
| Square root | 194.802464 (= 2√9487) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7948 × |
37948 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and forty-eight |
| Binary (base 2) | 1001010000111100 |
| Octal (base 8) | 112074 |
| Hexadecimal (base 16) | 943C |
| Base 3 | 1221001111 |
| As time | 37948 seconds = 10 h 32 min 28 s |
Is 37948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37948 ÷ 2 = 18974) | 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 (37948 ÷ 4 = 9487) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 37948 a prime number?
No. 37948 = × 53 × 179, so it is divisible by 2.
What are the factors of 37948?
1, 2, 4, 53, 106, 179, 212, 358, 716, 9487, 18974, 37948.
What is 37948 in binary?
1001010000111100 (hexadecimal 943C, octal 112074).
What is the square root of 37948?
About 194.8025, exactly 2√9487.
Is 37948 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 37948?
37948 is a happy number: repeatedly adding the squares of its digits reaches 1.