The number 37949
37949 is a composite number with 4 divisors. Its prime factorisation is 137 × 277. Divisors (4): 1, 137, 277, 37949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37949: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 137 × 277, the product of two primes.
- 2
37949 is composite. Its prime factorisation is
- 3
The divisors add up to 38364; without 37949 itself that is 415, so 37949 is deficient (415 is less than 37949). Euler's totient φ(37949) = 37536 numbers up to 37949 share no factor with it.
- 4
The digits of 37949 add up to 32, 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
\[ 37949 = 137 \times 277 \]
37949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 38364 |
| Euler totient φ(n) | 37536 |
| Square | 1440126601 |
| Cube | 54651364381349 |
| Square root | 194.805031 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7949 × |
37949 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and forty-nine |
| Binary (base 2) | 1001010000111101 |
| Octal (base 8) | 112075 |
| Hexadecimal (base 16) | 943D |
| Base 3 | 1221001112 |
| As time | 37949 seconds = 10 h 32 min 29 s |
Is 37949 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37949 a prime number?
No. 37949 = 137 × 277, so it is divisible by 137.
What are the factors of 37949?
1, 137, 277, 37949.
What is 37949 in binary?
1001010000111101 (hexadecimal 943D, octal 112075).
What is the square root of 37949?
About 194.8050.
Is 37949 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 37949?
37949 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 137 × 277, the product of two primes.