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Atlas › Integer Profiles › Node 16,636,746

16,636,746

2 × 3 × 7 × 127 × 3119
Abundant Even Composite

16,636,746 factors as 2 × 3 × 7 × 127 × 3119. Its 32 positive divisors give a proper-divisor sum of 21,701,814, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 127 × 3119
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 38,338,560
Proper Divisor Sum 21,701,814
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #16636733 ← → #16636757

Radix Representation

Decimal 16636746
Binary 111111011101101101001010 (24 bits)
Octal 0o77355512
Hexadecimal 0xFDDB4A

Divisor Catalog (32)

1 2 3 6 7 14 21 42 127 254 381 762 889 1,778 2,667 3,119 5,334 6,238 9,357 18,714 21,833 43,666 65,499 130,998 396,113 792,226 1,188,339 2,376,678 2,772,791 5,545,582 8,318,373 16,636,746

Collatz Trajectory (138 steps to reach 1)

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

16,636,746 8,318,373 24,955,120 12,477,560 6,238,780 3,119,390 1,559,695 4,679,086 2,339,543 7,018,630 3,509,315 10,527,946 5,263,973 15,791,920 7,895,960 3,947,980 1,973,990 986,995 2,960,986 1,480,493 4,441,480 2,220,740 1,110,370 555,185 1,665,556 832,778 416,389 1,249,168 624,584 312,292 156,146 78,073 234,220 117,110 58,555 175,666 87,833 263,500 131,750 65,875 197,626 98,813 296,440 148,220 74,110 37,055 111,166 55,583 166,750 83,375 250,126 125,063 375,190 187,595 562,786 281,393 844,180 422,090 211,045 633,136

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