The number 10074
10074 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 73. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 73, 138, 146, 219, 438, 1679, 3358, 5037, 10074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10074 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10074 is composite. Its prime factorisation is
- 3
The divisors add up to 21312; without 10074 itself that is 11238, so 10074 is abundant (11238 is more than 10074). Euler's totient φ(10074) = 3168 numbers up to 10074 share no factor with it.
- 4
The digits of 10074 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10074 = 2 \times 3 \times 23 \times 73 \]
10074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21312 |
| Euler totient φ(n) | 3168 |
| Square | 101485476 |
| Cube | 1022364685224 |
| Square root | 100.369318 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0074 × |
10074 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and seventy-four |
| Binary (base 2) | 10011101011010 |
| Octal (base 8) | 23532 |
| Hexadecimal (base 16) | 275A |
| Base 3 | 111211010 |
| As time | 10074 seconds = 2 h 47 min 54 s |
Is 10074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10074 ÷ 2 = 5037) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10074 ÷ 3 = 3358) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10074 ÷ 6 = 1679) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10074 a prime number?
No. 10074 = 2 × 3 × 23 × 73, so it is divisible by 2.
What are the factors of 10074?
1, 2, 3, 6, 23, 46, 69, 73, 138, 146, 219, 438, 1679, 3358, 5037, 10074.
What is 10074 in binary?
10011101011010 (hexadecimal 275A, octal 23532).
What is the square root of 10074?
About 100.3693.
Is 10074 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10074?
It is a composite number with 16 divisors.