6,728,936

2³ × 229 × 3673

6,728,936 factors as 2^3 × 229 × 3673. Its 16 positive divisors give a proper-divisor sum of 5,946,364, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^3 × 229 × 3673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,675,300

Proper Divisor Sum 5,946,364

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6728881 ← → #6728947

Radix Representation

Decimal	6728936
Binary	11001101010110011101000 (23 bits)
Octal	0o31526350
Hexadecimal	0x66ACE8

Divisor Catalog (16)

1 2 4 8 229 458 916 1,832 3,673 7,346 14,692 29,384 841,117 1,682,234 3,364,468 6,728,936

Collatz Trajectory (222 steps to reach 1)

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

6,728,936 3,364,468 1,682,234 841,117 2,523,352 1,261,676 630,838 315,419 946,258 473,129 1,419,388 709,694 354,847 1,064,542 532,271 1,596,814 798,407 2,395,222 1,197,611 3,592,834 1,796,417 5,389,252 2,694,626 1,347,313 4,041,940 2,020,970 1,010,485 3,031,456 1,515,728 757,864 378,932 189,466 94,733 284,200 142,100 71,050 35,525 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126

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