λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,688,265
52,688,265
3 × 5 × 7 × 337 × 1489
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 337 × 1489
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 96,695,040
Proper Divisor Sum 44,006,775
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #52688263 ← → #52688291

Radix Representation

Decimal 52688265
Binary 11001000111111010110001001 (26 bits)
Octal 0o310772611
Hexadecimal 0x323F589

Divisor Catalog (32)

1 3 5 7 15 21 35 105 337 1,011 1,489 1,685 2,359 4,467 5,055 7,077 7,445 10,423 11,795 22,335 31,269 35,385 52,115 156,345 501,793 1,505,379 2,508,965 3,512,551 7,526,895 10,537,653 17,562,755 52,688,265

Collatz Trajectory (119 steps to reach 1)

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

52,688,265 158,064,796 79,032,398 39,516,199 118,548,598 59,274,299 177,822,898 88,911,449 266,734,348 133,367,174 66,683,587 200,050,762 100,025,381 300,076,144 150,038,072 75,019,036 37,509,518 18,754,759 56,264,278 28,132,139 84,396,418 42,198,209 126,594,628 63,297,314 31,648,657 94,945,972 47,472,986 23,736,493 71,209,480 35,604,740 17,802,370 8,901,185 26,703,556 13,351,778 6,675,889 20,027,668 10,013,834 5,006,917 15,020,752 7,510,376 3,755,188 1,877,594 938,797 2,816,392 1,408,196 704,098 352,049 1,056,148 528,074 264,037 792,112 396,056 198,028 99,014 49,507 148,522 74,261 222,784 111,392 55,696

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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