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Ratio Atlas
Atlas › Integer Profiles › Node 778,235
778,235
5 × 317 × 491
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 317 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 938,736
Proper Divisor Sum 160,501
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #778223 ← → #778237

Radix Representation

Decimal 778235
Binary 10111101111111111011 (20 bits)
Octal 0o2757773
Hexadecimal 0xBDFFB

Divisor Catalog (8)

1 5 317 491 1,585 2,455 155,647 778,235

Collatz Trajectory (180 steps to reach 1)

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

778,235 2,334,706 1,167,353 3,502,060 1,751,030 875,515 2,626,546 1,313,273 3,939,820 1,969,910 984,955 2,954,866 1,477,433 4,432,300 2,216,150 1,108,075 3,324,226 1,662,113 4,986,340 2,493,170 1,246,585 3,739,756 1,869,878 934,939 2,804,818 1,402,409 4,207,228 2,103,614 1,051,807 3,155,422 1,577,711 4,733,134 2,366,567 7,099,702 3,549,851 10,649,554 5,324,777 15,974,332 7,987,166 3,993,583 11,980,750 5,990,375 17,971,126 8,985,563 26,956,690 13,478,345 40,435,036 20,217,518 10,108,759 30,326,278 15,163,139 45,489,418 22,744,709 68,234,128 34,117,064 17,058,532 8,529,266 4,264,633 12,793,900 6,396,950

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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