The number 37121
37121 is a composite number with 4 divisors. Its prime factorisation is 7 × 5303. Divisors (4): 1, 7, 5303, 37121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37121: a semiprime: 7 × 5303, the product of two primes.
- 2
37121 is composite. Its prime factorisation is
- 3
The divisors add up to 42432; without 37121 itself that is 5311, so 37121 is deficient (5311 is less than 37121). Euler's totient φ(37121) = 31812 numbers up to 37121 share no factor with it.
- 4
The digits of 37121 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37121 = 7 \times 5303 \]
37121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42432 |
| Euler totient φ(n) | 31812 |
| Square | 1377968641 |
| Cube | 51151573922561 |
| Square root | 192.668108 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7121 × |
37121 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and twenty-one |
| Binary (base 2) | 1001000100000001 |
| Octal (base 8) | 110401 |
| Hexadecimal (base 16) | 9101 |
| Base 3 | 1212220212 |
| As time | 37121 seconds = 10 h 18 min 41 s |
Is 37121 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 (37121 ÷ 7 = 5303) | 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 5) | 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 | No (remainder 7) | 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 37121 a prime number?
No. 37121 = 7 × 5303, so it is divisible by 7.
What are the factors of 37121?
1, 7, 5303, 37121.
What is 37121 in binary?
1001000100000001 (hexadecimal 9101, octal 110401).
What is the square root of 37121?
About 192.6681.
Is 37121 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 37121?
37121 is a semiprime: 7 × 5303, the product of two primes.