λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,097,385
4,097,385
34 × 5 × 67 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 67 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,503,936
Proper Divisor Sum 3,406,551
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4097383 ← → #4097389

Radix Representation

Decimal 4097385
Binary 1111101000010101101001 (22 bits)
Octal 0o17502551
Hexadecimal 0x3E8569

Divisor Catalog (40)

1 3 5 9 15 27 45 67 81 135 151 201 335 405 453 603 755 1,005 1,359 1,809 2,265 3,015 4,077 5,427 6,795 9,045 10,117 12,231 20,385 27,135 30,351 50,585 61,155 91,053 151,755 273,159 455,265 819,477 1,365,795 4,097,385

Collatz Trajectory (216 steps to reach 1)

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

4,097,385 12,292,156 6,146,078 3,073,039 9,219,118 4,609,559 13,828,678 6,914,339 20,743,018 10,371,509 31,114,528 15,557,264 7,778,632 3,889,316 1,944,658 972,329 2,916,988 1,458,494 729,247 2,187,742 1,093,871 3,281,614 1,640,807 4,922,422 2,461,211 7,383,634 3,691,817 11,075,452 5,537,726 2,768,863 8,306,590 4,153,295 12,459,886 6,229,943 18,689,830 9,344,915 28,034,746 14,017,373 42,052,120 21,026,060 10,513,030 5,256,515 15,769,546 7,884,773 23,654,320 11,827,160 5,913,580 2,956,790 1,478,395 4,435,186 2,217,593 6,652,780 3,326,390 1,663,195 4,989,586 2,494,793 7,484,380 3,742,190 1,871,095 5,613,286

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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