λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,598,838
52,598,838
2 × 3 × 23 × 563 × 677
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 23 × 563 × 677
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 110,128,896
Proper Divisor Sum 57,530,058
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #52598827 ← → #52598839

Radix Representation

Decimal 52598838
Binary 11001000101001100000110110 (26 bits)
Octal 0o310514066
Hexadecimal 0x3229836

Divisor Catalog (32)

1 2 3 6 23 46 69 138 563 677 1,126 1,354 1,689 2,031 3,378 4,062 12,949 15,571 25,898 31,142 38,847 46,713 77,694 93,426 381,151 762,302 1,143,453 2,286,906 8,766,473 17,532,946 26,299,419 52,598,838

Collatz Trajectory (155 steps to reach 1)

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

52,598,838 26,299,419 78,898,258 39,449,129 118,347,388 59,173,694 29,586,847 88,760,542 44,380,271 133,140,814 66,570,407 199,711,222 99,855,611 299,566,834 149,783,417 449,350,252 224,675,126 112,337,563 337,012,690 168,506,345 505,519,036 252,759,518 126,379,759 379,139,278 189,569,639 568,708,918 284,354,459 853,063,378 426,531,689 1,279,595,068 639,797,534 319,898,767 959,696,302 479,848,151 1,439,544,454 719,772,227 2,159,316,682 1,079,658,341 3,238,975,024 1,619,487,512 809,743,756 404,871,878 202,435,939 607,307,818 303,653,909 910,961,728 455,480,864 227,740,432 113,870,216 56,935,108 28,467,554 14,233,777 42,701,332 21,350,666 10,675,333 32,026,000 16,013,000 8,006,500 4,003,250 2,001,625

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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