λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,320,090
32,320,090
2 × 5 × 11 × 43 × 6833
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11 × 43 × 6833
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,950,336
Proper Divisor Sum 32,630,246
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #32320087 ← → #32320139

Radix Representation

Decimal 32320090
Binary 1111011010010101001011010 (25 bits)
Octal 0o173225132
Hexadecimal 0x1ED2A5A

Divisor Catalog (32)

1 2 5 10 11 22 43 55 86 110 215 430 473 946 2,365 4,730 6,833 13,666 34,165 68,330 75,163 150,326 293,819 375,815 587,638 751,630 1,469,095 2,938,190 3,232,009 6,464,018 16,160,045 32,320,090

Collatz Trajectory (276 steps to reach 1)

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

32,320,090 16,160,045 48,480,136 24,240,068 12,120,034 6,060,017 18,180,052 9,090,026 4,545,013 13,635,040 6,817,520 3,408,760 1,704,380 852,190 426,095 1,278,286 639,143 1,917,430 958,715 2,876,146 1,438,073 4,314,220 2,157,110 1,078,555 3,235,666 1,617,833 4,853,500 2,426,750 1,213,375 3,640,126 1,820,063 5,460,190 2,730,095 8,190,286 4,095,143 12,285,430 6,142,715 18,428,146 9,214,073 27,642,220 13,821,110 6,910,555 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259 39,357,778 19,678,889 59,036,668 29,518,334 14,759,167 44,277,502

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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