λ
Ratio Atlas
Atlas › Integer Profiles › Node 577,535
577,535
5 × 7 × 29 × 569
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 29 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 820,800
Proper Divisor Sum 243,265
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #577531 ← → #577537

Radix Representation

Decimal 577535
Binary 10001100111111111111 (20 bits)
Octal 0o2147777
Hexadecimal 0x8CFFF

Divisor Catalog (16)

1 5 7 29 35 145 203 569 1,015 2,845 3,983 16,501 19,915 82,505 115,507 577,535

Collatz Trajectory (270 steps to reach 1)

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

577,535 1,732,606 866,303 2,598,910 1,299,455 3,898,366 1,949,183 5,847,550 2,923,775 8,771,326 4,385,663 13,156,990 6,578,495 19,735,486 9,867,743 29,603,230 14,801,615 44,404,846 22,202,423 66,607,270 33,303,635 99,910,906 49,955,453 149,866,360 74,933,180 37,466,590 18,733,295 56,199,886 28,099,943 84,299,830 42,149,915 126,449,746 63,224,873 189,674,620 94,837,310 47,418,655 142,255,966 71,127,983 213,383,950 106,691,975 320,075,926 160,037,963 480,113,890 240,056,945 720,170,836 360,085,418 180,042,709 540,128,128 270,064,064 135,032,032 67,516,016 33,758,008 16,879,004 8,439,502 4,219,751 12,659,254 6,329,627 18,988,882 9,494,441 28,483,324

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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