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6,220,648

23 × 73 × 2267
Abundant Even Composite

6,220,648 factors as 2^3 × 7^3 × 2267. Its 32 positive divisors give a proper-divisor sum of 7,387,352, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^3 × 7^3 × 2267
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,608,000
Proper Divisor Sum 7,387,352
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6220639 ← → #6220651

Radix Representation

Decimal 6220648
Binary 10111101110101101101000 (23 bits)
Octal 0o27565550
Hexadecimal 0x5EEB68

Divisor Catalog (32)

1 2 4 7 8 14 28 49 56 98 196 343 392 686 1,372 2,267 2,744 4,534 9,068 15,869 18,136 31,738 63,476 111,083 126,952 222,166 444,332 777,581 888,664 1,555,162 3,110,324 6,220,648

Collatz Trajectory (196 steps to reach 1)

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

6,220,648 3,110,324 1,555,162 777,581 2,332,744 1,166,372 583,186 291,593 874,780 437,390 218,695 656,086 328,043 984,130 492,065 1,476,196 738,098 369,049 1,107,148 553,574 276,787 830,362 415,181 1,245,544 622,772 311,386 155,693 467,080 233,540 116,770 58,385 175,156 87,578 43,789 131,368 65,684 32,842 16,421 49,264 24,632 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097

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