λ
Ratio Atlas
Atlas › Integer Profiles › Node 829,295
829,295
5 × 61 × 2719
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 61 × 2719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,011,840
Proper Divisor Sum 182,545
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #829289 ← → #829319

Radix Representation

Decimal 829295
Binary 11001010011101101111 (20 bits)
Octal 0o3123557
Hexadecimal 0xCA76F

Divisor Catalog (8)

1 5 61 305 2,719 13,595 165,859 829,295

Collatz Trajectory (144 steps to reach 1)

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

829,295 2,487,886 1,243,943 3,731,830 1,865,915 5,597,746 2,798,873 8,396,620 4,198,310 2,099,155 6,297,466 3,148,733 9,446,200 4,723,100 2,361,550 1,180,775 3,542,326 1,771,163 5,313,490 2,656,745 7,970,236 3,985,118 1,992,559 5,977,678 2,988,839 8,966,518 4,483,259 13,449,778 6,724,889 20,174,668 10,087,334 5,043,667 15,131,002 7,565,501 22,696,504 11,348,252 5,674,126 2,837,063 8,511,190 4,255,595 12,766,786 6,383,393 19,150,180 9,575,090 4,787,545 14,362,636 7,181,318 3,590,659 10,771,978 5,385,989 16,157,968 8,078,984 4,039,492 2,019,746 1,009,873 3,029,620 1,514,810 757,405 2,272,216 1,136,108

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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