λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,814,686
37,814,686
2 × 7 × 13 × 173 × 1201
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 173 × 1201
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,273,728
Proper Divisor Sum 32,459,042
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #37814677 ← → #37814713

Radix Representation

Decimal 37814686
Binary 10010000010000000110011110 (26 bits)
Octal 0o220200636
Hexadecimal 0x241019E

Divisor Catalog (32)

1 2 7 13 14 26 91 173 182 346 1,201 1,211 2,249 2,402 2,422 4,498 8,407 15,613 15,743 16,814 31,226 31,486 109,291 207,773 218,582 415,546 1,454,411 2,701,049 2,908,822 5,402,098 18,907,343 37,814,686

Collatz Trajectory (165 steps to reach 1)

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

37,814,686 18,907,343 56,722,030 28,361,015 85,083,046 42,541,523 127,624,570 63,812,285 191,436,856 95,718,428 47,859,214 23,929,607 71,788,822 35,894,411 107,683,234 53,841,617 161,524,852 80,762,426 40,381,213 121,143,640 60,571,820 30,285,910 15,142,955 45,428,866 22,714,433 68,143,300 34,071,650 17,035,825 51,107,476 25,553,738 12,776,869 38,330,608 19,165,304 9,582,652 4,791,326 2,395,663 7,186,990 3,593,495 10,780,486 5,390,243 16,170,730 8,085,365 24,256,096 12,128,048 6,064,024 3,032,012 1,516,006 758,003 2,274,010 1,137,005 3,411,016 1,705,508 852,754 426,377 1,279,132 639,566 319,783 959,350 479,675 1,439,026

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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