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6,959,628

22 × 33 × 13 × 4957
Abundant Even Composite

6,959,628 factors as 2^2 × 3^3 × 13 × 4957. Its 48 positive divisors give a proper-divisor sum of 12,475,732, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 4957
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,435,360
Proper Divisor Sum 12,475,732
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6959621 ← → #6959651

Radix Representation

Decimal 6959628
Binary 11010100011001000001100 (23 bits)
Octal 0o32431014
Hexadecimal 0x6A320C

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 4,957 9,914 14,871 19,828 29,742 44,613 59,484 64,441 89,226 128,882 133,839 178,452 193,323 257,764 267,678 386,646 535,356 579,969 773,292 1,159,938 1,739,907 2,319,876 3,479,814 6,959,628

Collatz Trajectory (98 steps to reach 1)

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

6,959,628 3,479,814 1,739,907 5,219,722 2,609,861 7,829,584 3,914,792 1,957,396 978,698 489,349 1,468,048 734,024 367,012 183,506 91,753 275,260 137,630 68,815 206,446 103,223 309,670 154,835 464,506 232,253 696,760 348,380 174,190 87,095 261,286 130,643 391,930 195,965 587,896 293,948 146,974 73,487 220,462 110,231 330,694 165,347 496,042 248,021 744,064 372,032 186,016 93,008 46,504 23,252 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228

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