λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,200,750
33,200,750
2 × 53 × 11 × 12073
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^3 × 11 × 12073
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,807,584
Proper Divisor Sum 34,606,834
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #33200749 ← → #33200789

Radix Representation

Decimal 33200750
Binary 1111110101001101001101110 (25 bits)
Octal 0o176515156
Hexadecimal 0x1FA9A6E

Divisor Catalog (32)

1 2 5 10 11 22 25 50 55 110 125 250 275 550 1,375 2,750 12,073 24,146 60,365 120,730 132,803 265,606 301,825 603,650 664,015 1,328,030 1,509,125 3,018,250 3,320,075 6,640,150 16,600,375 33,200,750

Collatz Trajectory (276 steps to reach 1)

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

33,200,750 16,600,375 49,801,126 24,900,563 74,701,690 37,350,845 112,052,536 56,026,268 28,013,134 14,006,567 42,019,702 21,009,851 63,029,554 31,514,777 94,544,332 47,272,166 23,636,083 70,908,250 35,454,125 106,362,376 53,181,188 26,590,594 13,295,297 39,885,892 19,942,946 9,971,473 29,914,420 14,957,210 7,478,605 22,435,816 11,217,908 5,608,954 2,804,477 8,413,432 4,206,716 2,103,358 1,051,679 3,155,038 1,577,519 4,732,558 2,366,279 7,098,838 3,549,419 10,648,258 5,324,129 15,972,388 7,986,194 3,993,097 11,979,292 5,989,646 2,994,823 8,984,470 4,492,235 13,476,706 6,738,353 20,215,060 10,107,530 5,053,765 15,161,296 7,580,648

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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