The number 37220
37220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1861. Divisors (12): 1, 2, 4, 5, 10, 20, 1861, 3722, 7444, 9305, 18610, 37220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37220 is composite. Its prime factorisation is
- 3
The divisors add up to 78204; without 37220 itself that is 40984, so 37220 is abundant (40984 is more than 37220). Euler's totient φ(37220) = 14880 numbers up to 37220 share no factor with it.
- 4
The digits of 37220 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37220 = 2^{2} \times 5 \times 1861 \]37220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78204 |
| Euler totient φ(n) | 14880 |
| Square | 1385328400 |
| Cube | 51561923048000 |
| Square root | 192.924856 (= 2√9305) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.722 × |
37220 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and twenty |
| Binary (base 2) | 1001000101100100 |
| Octal (base 8) | 110544 |
| Hexadecimal (base 16) | 9164 |
| Base 3 | 1220001112 |
| As time | 37220 seconds = 10 h 20 min 20 s |
Is 37220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37220 ÷ 2 = 18610) | 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 | Yes (37220 ÷ 4 = 9305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37220 ÷ 5 = 7444) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 | Yes (37220 ÷ 10 = 3722) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37220 a prime number?
No. 37220 = × 5 × 1861, so it is divisible by 2.
What are the factors of 37220?
1, 2, 4, 5, 10, 20, 1861, 3722, 7444, 9305, 18610, 37220.
What is 37220 in binary?
1001000101100100 (hexadecimal 9164, octal 110544).
What is the square root of 37220?
About 192.9249, exactly 2√9305.
Is 37220 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 37220?
It is a composite number with 12 divisors.