λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,723,646
33,723,646
2 × 11 × 67 × 137 × 167
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 67 × 137 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,754,432
Proper Divisor Sum 23,030,786
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #33723637 ← → #33723649

Radix Representation

Decimal 33723646
Binary 10000000101001010011111110 (26 bits)
Octal 0o200512376
Hexadecimal 0x20294FE

Divisor Catalog (32)

1 2 11 22 67 134 137 167 274 334 737 1,474 1,507 1,837 3,014 3,674 9,179 11,189 18,358 22,378 22,879 45,758 100,969 123,079 201,938 246,158 251,669 503,338 1,532,893 3,065,786 16,861,823 33,723,646

Collatz Trajectory (338 steps to reach 1)

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

33,723,646 16,861,823 50,585,470 25,292,735 75,878,206 37,939,103 113,817,310 56,908,655 170,725,966 85,362,983 256,088,950 128,044,475 384,133,426 192,066,713 576,200,140 288,100,070 144,050,035 432,150,106 216,075,053 648,225,160 324,112,580 162,056,290 81,028,145 243,084,436 121,542,218 60,771,109 182,313,328 91,156,664 45,578,332 22,789,166 11,394,583 34,183,750 17,091,875 51,275,626 25,637,813 76,913,440 38,456,720 19,228,360 9,614,180 4,807,090 2,403,545 7,210,636 3,605,318 1,802,659 5,407,978 2,703,989 8,111,968 4,055,984 2,027,992 1,013,996 506,998 253,499 760,498 380,249 1,140,748 570,374 285,187 855,562 427,781 1,283,344

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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