The number 37116
37116 is a composite number with 18 divisors. Its prime factorisation is × × 1031. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1031, 2062, 3093, 4124, 6186, 9279, 12372 … 37116.
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How to work it out
- 1
What is special about 37116: a Harshad number: divisible by its digit sum 18.
- 2
37116 is composite. Its prime factorisation is
- 3
The divisors add up to 93912; without 37116 itself that is 56796, so 37116 is abundant (56796 is more than 37116). Euler's totient φ(37116) = 12360 numbers up to 37116 share no factor with it.
- 4
The digits of 37116 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37116 = 2^{2} \times 3^{2} \times 1031 \]37116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 93912 |
| Euler totient φ(n) | 12360 |
| Square | 1377597456 |
| Cube | 51130907176896 |
| Square root | 192.655132 (= 6√1031) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7116 × |
37116 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and sixteen |
| Binary (base 2) | 1001000011111100 |
| Octal (base 8) | 110374 |
| Hexadecimal (base 16) | 90FC |
| Base 3 | 1212220200 |
| As time | 37116 seconds = 10 h 18 min 36 s |
Is 37116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37116 ÷ 2 = 18558) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37116 ÷ 3 = 12372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37116 ÷ 4 = 9279) | 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 (37116 ÷ 6 = 6186) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (37116 ÷ 9 = 4124) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37116 ÷ 12 = 3093) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37116 a prime number?
No. 37116 = × × 1031, so it is divisible by 2.
What are the factors of 37116?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1031, 2062, 3093, 4124, 6186, 9279, 12372, 18558, 37116.
What is 37116 in binary?
1001000011111100 (hexadecimal 90FC, octal 110374).
What is the square root of 37116?
About 192.6551, exactly 6√1031.
Is 37116 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37116?
37116 is a Harshad number: divisible by its digit sum 18.