The number 74724
74724 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 479. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 479, 958, 1437, 1916 … 74724.
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How to work it out
- 1
74724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74724 is composite. Its prime factorisation is
- 3
The divisors add up to 188160; without 74724 itself that is 113436, so 74724 is abundant (113436 is more than 74724). Euler's totient φ(74724) = 22944 numbers up to 74724 share no factor with it.
- 4
The digits of 74724 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74724 = 2^{2} \times 3 \times 13 \times 479 \]74724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 188160 |
| Euler totient φ(n) | 22944 |
| Square | 5583676176 |
| Cube | 417234618575424 |
| Square root | 273.356910 (= 2√18681) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4724 × |
74724 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and twenty-four |
| Binary (base 2) | 10010001111100100 |
| Octal (base 8) | 221744 |
| Hexadecimal (base 16) | 123E4 |
| Base 3 | 10210111120 |
| As time | 74724 seconds = 20 h 45 min 24 s |
Is 74724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74724 ÷ 2 = 37362) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74724 ÷ 3 = 24908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74724 ÷ 4 = 18681) | 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 (74724 ÷ 6 = 12454) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74724 ÷ 12 = 6227) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74724 a prime number?
No. 74724 = × 3 × 13 × 479, so it is divisible by 2.
What are the factors of 74724?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 479, 958, 1437, 1916, 2874, 5748, 6227, 12454, 18681, 24908, 37362, 74724.
What is 74724 in binary?
10010001111100100 (hexadecimal 123E4, octal 221744).
What is the square root of 74724?
About 273.3569, exactly 2√18681.
Is 74724 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74724?
It is a composite number with 24 divisors.