The number 93716
93716 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3347. Divisors (12): 1, 2, 4, 7, 14, 28, 3347, 6694, 13388, 23429, 46858, 93716.
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How to work it out
- 1
What is special about 93716: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
93716 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 93716 itself that is 93772, so 93716 is abundant (93772 is more than 93716). Euler's totient φ(93716) = 40152 numbers up to 93716 share no factor with it.
- 4
The digits of 93716 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 93716 = 2^{2} \times 7 \times 3347 \]93716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 40152 |
| Square | 8782688656 |
| Cube | 823078450085696 |
| Square root | 306.130691 (= 2√23429) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.3716 × |
93716 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand seven hundred and sixteen |
| Binary (base 2) | 10110111000010100 |
| Octal (base 8) | 267024 |
| Hexadecimal (base 16) | 16E14 |
| Base 3 | 11202112222 |
| As time | 93716 seconds = 26 h 1 min 56 s |
Is 93716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (93716 ÷ 2 = 46858) | 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 (93716 ÷ 4 = 23429) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (93716 ÷ 7 = 13388) | 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 8) | 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 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 93716 a prime number?
No. 93716 = × 7 × 3347, so it is divisible by 2.
What are the factors of 93716?
1, 2, 4, 7, 14, 28, 3347, 6694, 13388, 23429, 46858, 93716.
What is 93716 in binary?
10110111000010100 (hexadecimal 16E14, octal 267024).
What is the square root of 93716?
About 306.1307, exactly 2√23429.
Is 93716 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 93716?
93716 is a happy number: repeatedly adding the squares of its digits reaches 1.