λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,907,470
36,907,470
2 × 32 × 5 × 127 × 3229
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 127 × 3229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,744,960
Proper Divisor Sum 59,837,490
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36907469 ← → #36907471

Radix Representation

Decimal 36907470
Binary 10001100110010100111001110 (26 bits)
Octal 0o214624716
Hexadecimal 0x23329CE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1,143 1,270 1,905 2,286 3,229 3,810 5,715 6,458 9,687 11,430 16,145 19,374 29,061 32,290 48,435 58,122 96,870 145,305 290,610 410,083 820,166 1,230,249 2,050,415 2,460,498 3,690,747 4,100,830 6,151,245 7,381,494 12,302,490 18,453,735 36,907,470

Collatz Trajectory (227 steps to reach 1)

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

36,907,470 18,453,735 55,361,206 27,680,603 83,041,810 41,520,905 124,562,716 62,281,358 31,140,679 93,422,038 46,711,019 140,133,058 70,066,529 210,199,588 105,099,794 52,549,897 157,649,692 78,824,846 39,412,423 118,237,270 59,118,635 177,355,906 88,677,953 266,033,860 133,016,930 66,508,465 199,525,396 99,762,698 49,881,349 149,644,048 74,822,024 37,411,012 18,705,506 9,352,753 28,058,260 14,029,130 7,014,565 21,043,696 10,521,848 5,260,924 2,630,462 1,315,231 3,945,694 1,972,847 5,918,542 2,959,271 8,877,814 4,438,907 13,316,722 6,658,361 19,975,084 9,987,542 4,993,771 14,981,314 7,490,657 22,471,972 11,235,986 5,617,993 16,853,980 8,426,990

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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