λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,304,590
9,304,590
2 × 3 × 5 × 47 × 6599
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 47 × 6599
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,809,600
Proper Divisor Sum 13,505,010
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9304583 ← → #9304591

Radix Representation

Decimal 9304590
Binary 100011011111101000001110 (24 bits)
Octal 0o43375016
Hexadecimal 0x8DFA0E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1,410 6,599 13,198 19,797 32,995 39,594 65,990 98,985 197,970 310,153 620,306 930,459 1,550,765 1,860,918 3,101,530 4,652,295 9,304,590

Collatz Trajectory (207 steps to reach 1)

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

9,304,590 4,652,295 13,956,886 6,978,443 20,935,330 10,467,665 31,402,996 15,701,498 7,850,749 23,552,248 11,776,124 5,888,062 2,944,031 8,832,094 4,416,047 13,248,142 6,624,071 19,872,214 9,936,107 29,808,322 14,904,161 44,712,484 22,356,242 11,178,121 33,534,364 16,767,182 8,383,591 25,150,774 12,575,387 37,726,162 18,863,081 56,589,244 28,294,622 14,147,311 42,441,934 21,220,967 63,662,902 31,831,451 95,494,354 47,747,177 143,241,532 71,620,766 35,810,383 107,431,150 53,715,575 161,146,726 80,573,363 241,720,090 120,860,045 362,580,136 181,290,068 90,645,034 45,322,517 135,967,552 67,983,776 33,991,888 16,995,944 8,497,972 4,248,986 2,124,493

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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