The number 37026
37026 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 17. Divisors (36): 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 121 … 37026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37026: a Harshad number: divisible by its digit sum 18.
- 2
37026 is composite. Its prime factorisation is
- 3
The divisors add up to 93366; without 37026 itself that is 56340, so 37026 is abundant (56340 is more than 37026). Euler's totient φ(37026) = 10560 numbers up to 37026 share no factor with it.
- 4
The digits of 37026 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37026 = 2 \times 3^{2} \times 11^{2} \times 17 \]37026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 93366 |
| Euler totient φ(n) | 10560 |
| Square | 1370924676 |
| Cube | 50759857053576 |
| Square root | 192.421413 (= 33√34) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7026 × |
37026 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and twenty-six |
| Binary (base 2) | 1001000010100010 |
| Octal (base 8) | 110242 |
| Hexadecimal (base 16) | 90A2 |
| Base 3 | 1212210100 |
| As time | 37026 seconds = 10 h 17 min 6 s |
Is 37026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37026 ÷ 2 = 18513) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37026 ÷ 3 = 12342) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37026 ÷ 6 = 6171) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (37026 ÷ 9 = 4114) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37026 ÷ 11 = 3366) | 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 37026 a prime number?
No. 37026 = 2 × × × 17, so it is divisible by 2.
What are the factors of 37026?
1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 121, 153, 187, 198, 242, 306, 363, 374, 561, 726, 1089, 1122, 1683, 2057, 2178, 3366, 4114, 6171, 12342, 18513, 37026.
What is 37026 in binary?
1001000010100010 (hexadecimal 90A2, octal 110242).
What is the square root of 37026?
About 192.4214, exactly 33√34.
Is 37026 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37026?
37026 is a Harshad number: divisible by its digit sum 18.