The number 93002
93002 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 73. Divisors (24): 1, 2, 7, 13, 14, 26, 49, 73, 91, 98, 146, 182, 511, 637, 949, 1022 … 93002.
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How to work it out
- 1
What is special about 93002: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
93002 is composite. Its prime factorisation is
- 3
The divisors add up to 177156; without 93002 itself that is 84154, so 93002 is deficient (84154 is less than 93002). Euler's totient φ(93002) = 36288 numbers up to 93002 share no factor with it.
- 4
The digits of 93002 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 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 93002 = 2 \times 7^{2} \times 13 \times 73 \]93002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 177156 |
| Euler totient φ(n) | 36288 |
| Square | 8649372004 |
| Cube | 804408895116008 |
| Square root | 304.962293 (= 7√1898) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 177 |
| Scientific notation | 9.3002 × |
93002 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand and two |
| Binary (base 2) | 10110101101001010 |
| Octal (base 8) | 265512 |
| Hexadecimal (base 16) | 16B4A |
| Base 3 | 11201120112 |
| As time | 93002 seconds = 25 h 50 min 2 s |
Is 93002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (93002 ÷ 2 = 46501) | 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 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (93002 ÷ 7 = 13286) | 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 | No (remainder 5) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 93002 a prime number?
No. 93002 = 2 × × 13 × 73, so it is divisible by 2.
What are the factors of 93002?
1, 2, 7, 13, 14, 26, 49, 73, 91, 98, 146, 182, 511, 637, 949, 1022, 1274, 1898, 3577, 6643, 7154, 13286, 46501, 93002.
What is 93002 in binary?
10110101101001010 (hexadecimal 16B4A, octal 265512).
What is the square root of 93002?
About 304.9623, exactly 7√1898.
Is 93002 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 93002?
93002 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.