The number 37961
37961 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 17 × 29. Divisors (16): 1, 7, 11, 17, 29, 77, 119, 187, 203, 319, 493, 1309, 2233, 3451, 5423, 37961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37961: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37961 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 37961 itself that is 13879, so 37961 is deficient (13879 is less than 37961). Euler's totient φ(37961) = 26880 numbers up to 37961 share no factor with it.
- 4
The digits of 37961 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37961 = 7 \times 11 \times 17 \times 29 \]
37961 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 26880 |
| Square | 1441037521 |
| Cube | 54703225334681 |
| Square root | 194.835828 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.7961 × |
37961 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and sixty-one |
| Binary (base 2) | 1001010001001001 |
| Octal (base 8) | 112111 |
| Hexadecimal (base 16) | 9449 |
| Base 3 | 1221001222 |
| As time | 37961 seconds = 10 h 32 min 41 s |
Is 37961 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 1) | 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 | Yes (37961 ÷ 7 = 5423) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37961 ÷ 11 = 3451) | 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 37961 a prime number?
No. 37961 = 7 × 11 × 17 × 29, so it is divisible by 7.
What are the factors of 37961?
1, 7, 11, 17, 29, 77, 119, 187, 203, 319, 493, 1309, 2233, 3451, 5423, 37961.
What is 37961 in binary?
1001010001001001 (hexadecimal 9449, octal 112111).
What is the square root of 37961?
About 194.8358.
Is 37961 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 37961?
37961 is a happy number: repeatedly adding the squares of its digits reaches 1.