λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,967,728
36,967,728
24 × 3 × 7 × 110023
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 110023
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 109,143,808
Proper Divisor Sum 72,176,080
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36967703 ← → #36967729

Radix Representation

Decimal 36967728
Binary 10001101000001010100110000 (26 bits)
Octal 0o215012460
Hexadecimal 0x2341530

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 110,023 220,046 330,069 440,092 660,138 770,161 880,184 1,320,276 1,540,322 1,760,368 2,310,483 2,640,552 3,080,644 4,620,966 5,281,104 6,161,288 9,241,932 12,322,576 18,483,864 36,967,728

Collatz Trajectory (227 steps to reach 1)

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

36,967,728 18,483,864 9,241,932 4,620,966 2,310,483 6,931,450 3,465,725 10,397,176 5,198,588 2,599,294 1,299,647 3,898,942 1,949,471 5,848,414 2,924,207 8,772,622 4,386,311 13,158,934 6,579,467 19,738,402 9,869,201 29,607,604 14,803,802 7,401,901 22,205,704 11,102,852 5,551,426 2,775,713 8,327,140 4,163,570 2,081,785 6,245,356 3,122,678 1,561,339 4,684,018 2,342,009 7,026,028 3,513,014 1,756,507 5,269,522 2,634,761 7,904,284 3,952,142 1,976,071 5,928,214 2,964,107 8,892,322 4,446,161 13,338,484 6,669,242 3,334,621 10,003,864 5,001,932 2,500,966 1,250,483 3,751,450 1,875,725 5,627,176 2,813,588 1,406,794

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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