6,963,248

2⁴ × 29 × 43 × 349

6,963,248 is even and not a perfect square. Its factorization is 2^4 × 29 × 43 × 349 and its 40 divisors sum to 14,322,000.

Prime Factor Structure

Factorization String 2^4 × 29 × 43 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 14,322,000

Proper Divisor Sum 7,358,752

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6963241 ← → #6963259

Radix Representation

Decimal	6963248
Binary	11010100100000000110000 (23 bits)
Octal	0o32440060
Hexadecimal	0x6A4030

Divisor Catalog (40)

1 2 4 8 16 29 43 58 86 116 172 232 344 349 464 688 698 1,247 1,396 2,494 2,792 4,988 5,584 9,976 10,121 15,007 19,952 20,242 30,014 40,484 60,028 80,968 120,056 161,936 240,112 435,203 870,406 1,740,812 3,481,624 6,963,248

Collatz Trajectory (98 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,963,248 3,481,624 1,740,812 870,406 435,203 1,305,610 652,805 1,958,416 979,208 489,604 244,802 122,401 367,204 183,602 91,801 275,404 137,702 68,851 206,554 103,277 309,832 154,916 77,458 38,729 116,188 58,094 29,047 87,142 43,571 130,714 65,357 196,072 98,036 49,018 24,509 73,528 36,764 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228

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