The number 37002
37002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 881. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 881, 1762, 2643, 5286, 6167, 12334, 18501, 37002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37002 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 37002 itself that is 47670, so 37002 is abundant (47670 is more than 37002). Euler's totient φ(37002) = 10560 numbers up to 37002 share no factor with it.
- 4
The digits of 37002 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37002 = 2 \times 3 \times 7 \times 881 \]
37002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 10560 |
| Square | 1369148004 |
| Cube | 50661214444008 |
| Square root | 192.359039 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7002 × |
37002 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and two |
| Binary (base 2) | 1001000010001010 |
| Octal (base 8) | 110212 |
| Hexadecimal (base 16) | 908A |
| Base 3 | 1212202110 |
| As time | 37002 seconds = 10 h 16 min 42 s |
Is 37002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37002 ÷ 2 = 18501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37002 ÷ 3 = 12334) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37002 ÷ 6 = 6167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (37002 ÷ 7 = 5286) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37002 a prime number?
No. 37002 = 2 × 3 × 7 × 881, so it is divisible by 2.
What are the factors of 37002?
1, 2, 3, 6, 7, 14, 21, 42, 881, 1762, 2643, 5286, 6167, 12334, 18501, 37002.
What is 37002 in binary?
1001000010001010 (hexadecimal 908A, octal 110212).
What is the square root of 37002?
About 192.3590.
Is 37002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 37002?
It is a composite number with 16 divisors.