λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,770,439
42,770,439
32 × 139 × 179 × 191
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 139 × 179 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 62,899,200
Proper Divisor Sum 20,128,761
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #42770437 ← → #42770449

Radix Representation

Decimal 42770439
Binary 10100011001010000000000111 (26 bits)
Octal 0o243120007
Hexadecimal 0x28CA007

Divisor Catalog (24)

1 3 9 139 179 191 417 537 573 1,251 1,611 1,719 24,881 26,549 34,189 74,643 79,647 102,567 223,929 238,941 307,701 4,752,271 14,256,813 42,770,439

Collatz Trajectory (121 steps to reach 1)

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

42,770,439 128,311,318 64,155,659 192,466,978 96,233,489 288,700,468 144,350,234 72,175,117 216,525,352 108,262,676 54,131,338 27,065,669 81,197,008 40,598,504 20,299,252 10,149,626 5,074,813 15,224,440 7,612,220 3,806,110 1,903,055 5,709,166 2,854,583 8,563,750 4,281,875 12,845,626 6,422,813 19,268,440 9,634,220 4,817,110 2,408,555 7,225,666 3,612,833 10,838,500 5,419,250 2,709,625 8,128,876 4,064,438 2,032,219 6,096,658 3,048,329 9,144,988 4,572,494 2,286,247 6,858,742 3,429,371 10,288,114 5,144,057 15,432,172 7,716,086 3,858,043 11,574,130 5,787,065 17,361,196 8,680,598 4,340,299 13,020,898 6,510,449 19,531,348 9,765,674

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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