λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,920,705
40,920,705
32 × 5 × 7 × 37 × 3511
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 37 × 3511
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 83,276,544
Proper Divisor Sum 42,355,839
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40920701 ← → #40920721

Radix Representation

Decimal 40920705
Binary 10011100000110011010000001 (26 bits)
Octal 0o234063201
Hexadecimal 0x2706681

Divisor Catalog (48)

1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1,295 1,665 2,331 3,511 3,885 10,533 11,655 17,555 24,577 31,599 52,665 73,731 122,885 129,907 157,995 221,193 368,655 389,721 649,535 909,349 1,105,965 1,169,163 1,948,605 2,728,047 4,546,745 5,845,815 8,184,141 13,640,235 40,920,705

Collatz Trajectory (253 steps to reach 1)

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

40,920,705 122,762,116 61,381,058 30,690,529 92,071,588 46,035,794 23,017,897 69,053,692 34,526,846 17,263,423 51,790,270 25,895,135 77,685,406 38,842,703 116,528,110 58,264,055 174,792,166 87,396,083 262,188,250 131,094,125 393,282,376 196,641,188 98,320,594 49,160,297 147,480,892 73,740,446 36,870,223 110,610,670 55,305,335 165,916,006 82,958,003 248,874,010 124,437,005 373,311,016 186,655,508 93,327,754 46,663,877 139,991,632 69,995,816 34,997,908 17,498,954 8,749,477 26,248,432 13,124,216 6,562,108 3,281,054 1,640,527 4,921,582 2,460,791 7,382,374 3,691,187 11,073,562 5,536,781 16,610,344 8,305,172 4,152,586 2,076,293 6,228,880 3,114,440 1,557,220

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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