λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,922,840
36,922,840
23 × 5 × 71 × 13001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 13001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,252,960
Proper Divisor Sum 47,330,120
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36922819 ← → #36922841

Radix Representation

Decimal 36922840
Binary 10001100110110010111011000 (26 bits)
Octal 0o214662730
Hexadecimal 0x23365D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 1,420 2,840 13,001 26,002 52,004 65,005 104,008 130,010 260,020 520,040 923,071 1,846,142 3,692,284 4,615,355 7,384,568 9,230,710 18,461,420 36,922,840

Collatz Trajectory (214 steps to reach 1)

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

36,922,840 18,461,420 9,230,710 4,615,355 13,846,066 6,923,033 20,769,100 10,384,550 5,192,275 15,576,826 7,788,413 23,365,240 11,682,620 5,841,310 2,920,655 8,761,966 4,380,983 13,142,950 6,571,475 19,714,426 9,857,213 29,571,640 14,785,820 7,392,910 3,696,455 11,089,366 5,544,683 16,634,050 8,317,025 24,951,076 12,475,538 6,237,769 18,713,308 9,356,654 4,678,327 14,034,982 7,017,491 21,052,474 10,526,237 31,578,712 15,789,356 7,894,678 3,947,339 11,842,018 5,921,009 17,763,028 8,881,514 4,440,757 13,322,272 6,661,136 3,330,568 1,665,284 832,642 416,321 1,248,964 624,482 312,241 936,724 468,362 234,181

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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