λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,339,945
3,339,945
32 × 5 × 7 × 23 × 461
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 23 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,918,912
Proper Divisor Sum 3,578,967
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3339943 ← → #3339949

Radix Representation

Decimal 3339945
Binary 1100101111011010101001 (22 bits)
Octal 0o14573251
Hexadecimal 0x32F6A9

Divisor Catalog (48)

1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 461 483 805 1,035 1,383 1,449 2,305 2,415 3,227 4,149 6,915 7,245 9,681 10,603 16,135 20,745 29,043 31,809 48,405 53,015 74,221 95,427 145,215 159,045 222,663 371,105 477,135 667,989 1,113,315 3,339,945

Collatz Trajectory (138 steps to reach 1)

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

3,339,945 10,019,836 5,009,918 2,504,959 7,514,878 3,757,439 11,272,318 5,636,159 16,908,478 8,454,239 25,362,718 12,681,359 38,044,078 19,022,039 57,066,118 28,533,059 85,599,178 42,799,589 128,398,768 64,199,384 32,099,692 16,049,846 8,024,923 24,074,770 12,037,385 36,112,156 18,056,078 9,028,039 27,084,118 13,542,059 40,626,178 20,313,089 60,939,268 30,469,634 15,234,817 45,704,452 22,852,226 11,426,113 34,278,340 17,139,170 8,569,585 25,708,756 12,854,378 6,427,189 19,281,568 9,640,784 4,820,392 2,410,196 1,205,098 602,549 1,807,648 903,824 451,912 225,956 112,978 56,489 169,468 84,734 42,367 127,102

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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