λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,967,750
36,967,750
2 × 53 × 29 × 5099
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^3 × 29 × 5099
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,604,000
Proper Divisor Sum 34,636,250
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36967729 ← → #36967753

Radix Representation

Decimal 36967750
Binary 10001101000001010101000110 (26 bits)
Octal 0o215012506
Hexadecimal 0x2341546

Divisor Catalog (32)

1 2 5 10 25 29 50 58 125 145 250 290 725 1,450 3,625 5,099 7,250 10,198 25,495 50,990 127,475 147,871 254,950 295,742 637,375 739,355 1,274,750 1,478,710 3,696,775 7,393,550 18,483,875 36,967,750

Collatz Trajectory (227 steps to reach 1)

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

36,967,750 18,483,875 55,451,626 27,725,813 83,177,440 41,588,720 20,794,360 10,397,180 5,198,590 2,599,295 7,797,886 3,898,943 11,696,830 5,848,415 17,545,246 8,772,623 26,317,870 13,158,935 39,476,806 19,738,403 59,215,210 29,607,605 88,822,816 44,411,408 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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