λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,880
33,880
23 × 5 × 7 × 112
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 95,760
Proper Divisor Sum 61,880
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #33871 ← → #33889

Radix Representation

Decimal 33880
Binary 1000010001011000 (16 bits)
Octal 0o102130
Hexadecimal 0x8458

Divisor Catalog (48)

1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1,210 1,540 1,694 2,420 3,080 3,388 4,235 4,840 6,776 8,470 16,940 33,880

Collatz Trajectory (59 steps to reach 1)

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

33,880 16,940 8,470 4,235 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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