λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,891,768
33,891,768
23 × 32 × 470719
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 470719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 91,790,400
Proper Divisor Sum 57,898,632
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #33891731 ← → #33891769

Radix Representation

Decimal 33891768
Binary 10000001010010010110111000 (26 bits)
Octal 0o201222670
Hexadecimal 0x20525B8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 470,719 941,438 1,412,157 1,882,876 2,824,314 3,765,752 4,236,471 5,648,628 8,472,942 11,297,256 16,945,884 33,891,768

Collatz Trajectory (201 steps to reach 1)

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

33,891,768 16,945,884 8,472,942 4,236,471 12,709,414 6,354,707 19,064,122 9,532,061 28,596,184 14,298,092 7,149,046 3,574,523 10,723,570 5,361,785 16,085,356 8,042,678 4,021,339 12,064,018 6,032,009 18,096,028 9,048,014 4,524,007 13,572,022 6,786,011 20,358,034 10,179,017 30,537,052 15,268,526 7,634,263 22,902,790 11,451,395 34,354,186 17,177,093 51,531,280 25,765,640 12,882,820 6,441,410 3,220,705 9,662,116 4,831,058 2,415,529 7,246,588 3,623,294 1,811,647 5,434,942 2,717,471 8,152,414 4,076,207 12,228,622 6,114,311 18,342,934 9,171,467 27,514,402 13,757,201 41,271,604 20,635,802 10,317,901 30,953,704 15,476,852 7,738,426

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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