The number 74648
74648 is a composite number with 32 divisors. Its prime factorisation is × 7 × 31 × 43. Divisors (32): 1, 2, 4, 7, 8, 14, 28, 31, 43, 56, 62, 86, 124, 172, 217, 248 … 74648.
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How to work it out
- 1
74648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74648 is composite. Its prime factorisation is
- 3
The divisors add up to 168960; without 74648 itself that is 94312, so 74648 is abundant (94312 is more than 74648). Euler's totient φ(74648) = 30240 numbers up to 74648 share no factor with it.
- 4
The digits of 74648 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74648 = 2^{3} \times 7 \times 31 \times 43 \]74648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 168960 |
| Euler totient φ(n) | 30240 |
| Square | 5572323904 |
| Cube | 415962834785792 |
| Square root | 273.217862 (= 2√18662) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.4648 × |
74648 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand six hundred and forty-eight |
| Binary (base 2) | 10010001110011000 |
| Octal (base 8) | 221630 |
| Hexadecimal (base 16) | 12398 |
| Base 3 | 10210101202 |
| As time | 74648 seconds = 20 h 44 min 8 s |
Is 74648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74648 ÷ 2 = 37324) | 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 (74648 ÷ 4 = 18662) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (74648 ÷ 7 = 10664) | 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 (74648 ÷ 8 = 9331) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 74648 a prime number?
No. 74648 = × 7 × 31 × 43, so it is divisible by 2.
What are the factors of 74648?
1, 2, 4, 7, 8, 14, 28, 31, 43, 56, 62, 86, 124, 172, 217, 248, 301, 344, 434, 602, 868, 1204, 1333, 1736, 2408, 2666, 5332, 9331, 10664, 18662, 37324, 74648.
What is 74648 in binary?
10010001110011000 (hexadecimal 12398, octal 221630).
What is the square root of 74648?
About 273.2179, exactly 2√18662.
Is 74648 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 74648?
It is a composite number with 32 divisors.