λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,048,828
36,048,828
22 × 3 × 233 × 12893
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 233 × 12893
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 84,481,488
Proper Divisor Sum 48,432,660
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36048773 ← → #36048829

Radix Representation

Decimal 36048828
Binary 10001001100000111110111100 (26 bits)
Octal 0o211407674
Hexadecimal 0x2260FBC

Divisor Catalog (24)

1 2 3 4 6 12 233 466 699 932 1,398 2,796 12,893 25,786 38,679 51,572 77,358 154,716 3,004,069 6,008,138 9,012,207 12,016,276 18,024,414 36,048,828

Collatz Trajectory (196 steps to reach 1)

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

36,048,828 18,024,414 9,012,207 27,036,622 13,518,311 40,554,934 20,277,467 60,832,402 30,416,201 91,248,604 45,624,302 22,812,151 68,436,454 34,218,227 102,654,682 51,327,341 153,982,024 76,991,012 38,495,506 19,247,753 57,743,260 28,871,630 14,435,815 43,307,446 21,653,723 64,961,170 32,480,585 97,441,756 48,720,878 24,360,439 73,081,318 36,540,659 109,621,978 54,810,989 164,432,968 82,216,484 41,108,242 20,554,121 61,662,364 30,831,182 15,415,591 46,246,774 23,123,387 69,370,162 34,685,081 104,055,244 52,027,622 26,013,811 78,041,434 39,020,717 117,062,152 58,531,076 29,265,538 14,632,769 43,898,308 21,949,154 10,974,577 32,923,732 16,461,866 8,230,933

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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