λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,468,410
40,468,410
2 × 34 × 5 × 47 × 1063
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 47 × 1063
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 111,234,816
Proper Divisor Sum 70,766,406
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40468409 ← → #40468411

Radix Representation

Decimal 40468410
Binary 10011010010111111110111010 (26 bits)
Octal 0o232277672
Hexadecimal 0x2697FBA

Divisor Catalog (60 of 80)

1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 1,063 1,269 1,410 2,115 2,126 2,538 3,189 3,807 4,230 5,315 6,345 6,378 7,614 9,567 10,630 12,690 15,945 19,035 19,134 28,701 31,890 38,070 47,835 49,961 57,402 86,103 95,670 99,922 143,505 149,883 172,206

Collatz Trajectory (178 steps to reach 1)

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

40,468,410 20,234,205 60,702,616 30,351,308 15,175,654 7,587,827 22,763,482 11,381,741 34,145,224 17,072,612 8,536,306 4,268,153 12,804,460 6,402,230 3,201,115 9,603,346 4,801,673 14,405,020 7,202,510 3,601,255 10,803,766 5,401,883 16,205,650 8,102,825 24,308,476 12,154,238 6,077,119 18,231,358 9,115,679 27,347,038 13,673,519 41,020,558 20,510,279 61,530,838 30,765,419 92,296,258 46,148,129 138,444,388 69,222,194 34,611,097 103,833,292 51,916,646 25,958,323 77,874,970 38,937,485 116,812,456 58,406,228 29,203,114 14,601,557 43,804,672 21,902,336 10,951,168 5,475,584 2,737,792 1,368,896 684,448 342,224 171,112 85,556 42,778

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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