The number 74072
74072 is a composite number with 16 divisors. Its prime factorisation is × 47 × 197. Divisors (16): 1, 2, 4, 8, 47, 94, 188, 197, 376, 394, 788, 1576, 9259, 18518, 37036, 74072.
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How to work it out
- 1
74072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74072 is composite. Its prime factorisation is
- 3
The divisors add up to 142560; without 74072 itself that is 68488, so 74072 is deficient (68488 is less than 74072). Euler's totient φ(74072) = 36064 numbers up to 74072 share no factor with it.
- 4
The digits of 74072 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74072 = 2^{3} \times 47 \times 197 \]74072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142560 |
| Euler totient φ(n) | 36064 |
| Square | 5486661184 |
| Cube | 406407967221248 |
| Square root | 272.161717 (= 2√18518) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.4072 × |
74072 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and seventy-two |
| Binary (base 2) | 10010000101011000 |
| Octal (base 8) | 220530 |
| Hexadecimal (base 16) | 12158 |
| Base 3 | 10202121102 |
| As time | 74072 seconds = 20 h 34 min 32 s |
Is 74072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74072 ÷ 2 = 37036) | 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 (74072 ÷ 4 = 18518) | 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 | No (remainder 5) | 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 | Yes (74072 ÷ 8 = 9259) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 74072 a prime number?
No. 74072 = × 47 × 197, so it is divisible by 2.
What are the factors of 74072?
1, 2, 4, 8, 47, 94, 188, 197, 376, 394, 788, 1576, 9259, 18518, 37036, 74072.
What is 74072 in binary?
10010000101011000 (hexadecimal 12158, octal 220530).
What is the square root of 74072?
About 272.1617, exactly 2√18518.
Is 74072 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74072?
It is a composite number with 16 divisors.