λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,927,088
36,927,088
24 × 11 × 209813
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 11 × 209813
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 78,050,808
Proper Divisor Sum 41,123,720
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #36927047 ← → #36927103

Radix Representation

Decimal 36927088
Binary 10001100110111011001110000 (26 bits)
Octal 0o214673160
Hexadecimal 0x2337670

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 209,813 419,626 839,252 1,678,504 2,307,943 3,357,008 4,615,886 9,231,772 18,463,544 36,927,088

Collatz Trajectory (227 steps to reach 1)

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

36,927,088 18,463,544 9,231,772 4,615,886 2,307,943 6,923,830 3,461,915 10,385,746 5,192,873 15,578,620 7,789,310 3,894,655 11,683,966 5,841,983 17,525,950 8,762,975 26,288,926 13,144,463 39,433,390 19,716,695 59,150,086 29,575,043 88,725,130 44,362,565 133,087,696 66,543,848 33,271,924 16,635,962 8,317,981 24,953,944 12,476,972 6,238,486 3,119,243 9,357,730 4,678,865 14,036,596 7,018,298 3,509,149 10,527,448 5,263,724 2,631,862 1,315,931 3,947,794 1,973,897 5,921,692 2,960,846 1,480,423 4,441,270 2,220,635 6,661,906 3,330,953 9,992,860 4,996,430 2,498,215 7,494,646 3,747,323 11,241,970 5,620,985 16,862,956 8,431,478

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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