The number 74704
74704 is a composite number with 40 divisors. Its prime factorisation is × 7 × 23 × 29. Divisors (40): 1, 2, 4, 7, 8, 14, 16, 23, 28, 29, 46, 56, 58, 92, 112, 116 … 74704.
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How to work it out
- 1
What is special about 74704: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74704 is composite. Its prime factorisation is
- 3
The divisors add up to 178560; without 74704 itself that is 103856, so 74704 is abundant (103856 is more than 74704). Euler's totient φ(74704) = 29568 numbers up to 74704 share no factor with it.
- 4
The digits of 74704 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74704 = 2^{4} \times 7 \times 23 \times 29 \]74704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 178560 |
| Euler totient φ(n) | 29568 |
| Square | 5580687616 |
| Cube | 416899687665664 |
| Square root | 273.320325 (= 4√4669) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4704 × |
74704 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and four |
| Binary (base 2) | 10010001111010000 |
| Octal (base 8) | 221720 |
| Hexadecimal (base 16) | 123D0 |
| Base 3 | 10210110211 |
| As time | 74704 seconds = 20 h 45 min 4 s |
Is 74704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74704 ÷ 2 = 37352) | 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 | Yes (74704 ÷ 4 = 18676) | 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 (74704 ÷ 7 = 10672) | 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 (74704 ÷ 8 = 9338) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74704 a prime number?
No. 74704 = × 7 × 23 × 29, so it is divisible by 2.
What are the factors of 74704?
1, 2, 4, 7, 8, 14, 16, 23, 28, 29, 46, 56, 58, 92, 112, 116, 161, 184, 203, 232, 322, 368, 406, 464, 644, 667, 812, 1288, 1334, 1624, 2576, 2668, 3248, 4669, 5336, 9338, 10672, 18676, 37352, 74704.
What is 74704 in binary?
10010001111010000 (hexadecimal 123D0, octal 221720).
What is the square root of 74704?
About 273.3203, exactly 4√4669.
Is 74704 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 74704?
74704 is a happy number: repeatedly adding the squares of its digits reaches 1.