λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,601,720
27,601,720
23 × 5 × 107 × 6449
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 107 × 6449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,694,000
Proper Divisor Sum 35,092,280
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #27601709 ← → #27601729

Radix Representation

Decimal 27601720
Binary 1101001010010101100111000 (25 bits)
Octal 0o151225470
Hexadecimal 0x1A52B38

Divisor Catalog (32)

1 2 4 5 8 10 20 40 107 214 428 535 856 1,070 2,140 4,280 6,449 12,898 25,796 32,245 51,592 64,490 128,980 257,960 690,043 1,380,086 2,760,172 3,450,215 5,520,344 6,900,430 13,800,860 27,601,720

Collatz Trajectory (224 steps to reach 1)

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

27,601,720 13,800,860 6,900,430 3,450,215 10,350,646 5,175,323 15,525,970 7,762,985 23,288,956 11,644,478 5,822,239 17,466,718 8,733,359 26,200,078 13,100,039 39,300,118 19,650,059 58,950,178 29,475,089 88,425,268 44,212,634 22,106,317 66,318,952 33,159,476 16,579,738 8,289,869 24,869,608 12,434,804 6,217,402 3,108,701 9,326,104 4,663,052 2,331,526 1,165,763 3,497,290 1,748,645 5,245,936 2,622,968 1,311,484 655,742 327,871 983,614 491,807 1,475,422 737,711 2,213,134 1,106,567 3,319,702 1,659,851 4,979,554 2,489,777 7,469,332 3,734,666 1,867,333 5,602,000 2,801,000 1,400,500 700,250 350,125 1,050,376

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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