The number 74074
74074 is a composite number with 32 divisors. Its prime factorisation is 2 × 7 × 11 × 13 × 37. Divisors (32): 1, 2, 7, 11, 13, 14, 22, 26, 37, 74, 77, 91, 143, 154, 182, 259 … 74074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74074: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.
- 2
74074 is composite. Its prime factorisation is
- 3
The divisors add up to 153216; without 74074 itself that is 79142, so 74074 is abundant (79142 is more than 74074). Euler's totient φ(74074) = 25920 numbers up to 74074 share no factor with it.
- 4
The digits of 74074 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74074 = 2 \times 7 \times 11 \times 13 \times 37 \]
74074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 153216 |
| Euler totient φ(n) | 25920 |
| Square | 5486957476 |
| Cube | 406440888077224 |
| Square root | 272.165391 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.4074 × |
74074 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and seventy-four |
| Binary (base 2) | 10010000101011010 |
| Octal (base 8) | 220532 |
| Hexadecimal (base 16) | 1215A |
| Base 3 | 10202121111 |
| As time | 74074 seconds = 20 h 34 min 34 s |
Is 74074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74074 ÷ 2 = 37037) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74074 ÷ 7 = 10582) | 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 4) | 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 | Yes (74074 ÷ 11 = 6734) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74074 a prime number?
No. 74074 = 2 × 7 × 11 × 13 × 37, so it is divisible by 2.
What are the factors of 74074?
1, 2, 7, 11, 13, 14, 22, 26, 37, 74, 77, 91, 143, 154, 182, 259, 286, 407, 481, 518, 814, 962, 1001, 2002, 2849, 3367, 5291, 5698, 6734, 10582, 37037, 74074.
What is 74074 in binary?
10010000101011010 (hexadecimal 1215A, octal 220532).
What is the square root of 74074?
About 272.1654.
Is 74074 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 74074?
74074 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.