λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,765,710
33,765,710
2 × 5 × 11 × 89 × 3449
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11 × 89 × 3449
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,068,000
Proper Divisor Sum 33,302,290
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #33765709 ← → #33765713

Radix Representation

Decimal 33765710
Binary 10000000110011100101001110 (26 bits)
Octal 0o200634516
Hexadecimal 0x203394E

Divisor Catalog (32)

1 2 5 10 11 22 55 89 110 178 445 890 979 1,958 3,449 4,895 6,898 9,790 17,245 34,490 37,939 75,878 189,695 306,961 379,390 613,922 1,534,805 3,069,610 3,376,571 6,753,142 16,882,855 33,765,710

Collatz Trajectory (289 steps to reach 1)

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

33,765,710 16,882,855 50,648,566 25,324,283 75,972,850 37,986,425 113,959,276 56,979,638 28,489,819 85,469,458 42,734,729 128,204,188 64,102,094 32,051,047 96,153,142 48,076,571 144,229,714 72,114,857 216,344,572 108,172,286 54,086,143 162,258,430 81,129,215 243,387,646 121,693,823 365,081,470 182,540,735 547,622,206 273,811,103 821,433,310 410,716,655 1,232,149,966 616,074,983 1,848,224,950 924,112,475 2,772,337,426 1,386,168,713 4,158,506,140 2,079,253,070 1,039,626,535 3,118,879,606 1,559,439,803 4,678,319,410 2,339,159,705 7,017,479,116 3,508,739,558 1,754,369,779 5,263,109,338 2,631,554,669 7,894,664,008 3,947,332,004 1,973,666,002 986,833,001 2,960,499,004 1,480,249,502 740,124,751 2,220,374,254 1,110,187,127 3,330,561,382 1,665,280,691

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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