The number 93772
93772 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 197. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 197, 238, 394, 476, 788, 1379 … 93772.
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How to work it out
- 1
What is special about 93772: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.
- 2
93772 is composite. Its prime factorisation is
- 3
The divisors add up to 199584; without 93772 itself that is 105812, so 93772 is abundant (105812 is more than 93772). Euler's totient φ(93772) = 37632 numbers up to 93772 share no factor with it.
- 4
The digits of 93772 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 93772 = 2^{2} \times 7 \times 17 \times 197 \]93772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 199584 |
| Euler totient φ(n) | 37632 |
| Square | 8793187984 |
| Cube | 824554823635648 |
| Square root | 306.222142 (= 2√23443) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 133 |
| Scientific notation | 9.3772 × |
93772 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand seven hundred and seventy-two |
| Binary (base 2) | 10110111001001100 |
| Octal (base 8) | 267114 |
| Hexadecimal (base 16) | 16E4C |
| Base 3 | 11202122001 |
| As time | 93772 seconds = 26 h 2 min 52 s |
Is 93772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (93772 ÷ 2 = 46886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (93772 ÷ 4 = 23443) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (93772 ÷ 7 = 13396) | 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 93772 a prime number?
No. 93772 = × 7 × 17 × 197, so it is divisible by 2.
What are the factors of 93772?
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 197, 238, 394, 476, 788, 1379, 2758, 3349, 5516, 6698, 13396, 23443, 46886, 93772.
What is 93772 in binary?
10110111001001100 (hexadecimal 16E4C, octal 267114).
What is the square root of 93772?
About 306.2221, exactly 2√23443.
Is 93772 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 93772?
93772 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.