The number 74046
74046 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 41 × 43. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 41, 42, 43, 82, 86, 123, 129, 246, 258 … 74046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74046: a Harshad number: divisible by its digit sum 21.
- 2
74046 is composite. Its prime factorisation is
- 3
The divisors add up to 177408; without 74046 itself that is 103362, so 74046 is abundant (103362 is more than 74046). Euler's totient φ(74046) = 20160 numbers up to 74046 share no factor with it.
- 4
The digits of 74046 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74046 = 2 \times 3 \times 7 \times 41 \times 43 \]
74046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 177408 |
| Euler totient φ(n) | 20160 |
| Square | 5482810116 |
| Cube | 405980157849336 |
| Square root | 272.113947 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4046 × |
74046 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and forty-six |
| Binary (base 2) | 10010000100111110 |
| Octal (base 8) | 220476 |
| Hexadecimal (base 16) | 1213E |
| Base 3 | 10202120110 |
| As time | 74046 seconds = 20 h 34 min 6 s |
Is 74046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74046 ÷ 2 = 37023) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74046 ÷ 3 = 24682) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74046 ÷ 6 = 12341) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74046 ÷ 7 = 10578) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 74046 a prime number?
No. 74046 = 2 × 3 × 7 × 41 × 43, so it is divisible by 2.
What are the factors of 74046?
1, 2, 3, 6, 7, 14, 21, 41, 42, 43, 82, 86, 123, 129, 246, 258, 287, 301, 574, 602, 861, 903, 1722, 1763, 1806, 3526, 5289, 10578, 12341, 24682, 37023, 74046.
What is 74046 in binary?
10010000100111110 (hexadecimal 1213E, octal 220476).
What is the square root of 74046?
About 272.1139.
Is 74046 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74046?
74046 is a Harshad number: divisible by its digit sum 21.