The number 37009
37009 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 311. Divisors (8): 1, 7, 17, 119, 311, 2177, 5287, 37009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37009: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37009 is composite. Its prime factorisation is
- 3
The divisors add up to 44928; without 37009 itself that is 7919, so 37009 is deficient (7919 is less than 37009). Euler's totient φ(37009) = 29760 numbers up to 37009 share no factor with it.
- 4
The digits of 37009 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37009 = 7 \times 17 \times 311 \]
37009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44928 |
| Euler totient φ(n) | 29760 |
| Square | 1369666081 |
| Cube | 50689971991729 |
| Square root | 192.377234 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7009 × |
37009 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and nine |
| Binary (base 2) | 1001000010010001 |
| Octal (base 8) | 110221 |
| Hexadecimal (base 16) | 9091 |
| Base 3 | 1212202201 |
| As time | 37009 seconds = 10 h 16 min 49 s |
Is 37009 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (37009 ÷ 7 = 5287) | 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 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37009 a prime number?
No. 37009 = 7 × 17 × 311, so it is divisible by 7.
What are the factors of 37009?
1, 7, 17, 119, 311, 2177, 5287, 37009.
What is 37009 in binary?
1001000010010001 (hexadecimal 9091, octal 110221).
What is the square root of 37009?
About 192.3772.
Is 37009 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37009?
37009 is a happy number: repeatedly adding the squares of its digits reaches 1.