λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,123,750
37,123,750
2 × 54 × 17 × 1747
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^4 × 17 × 1747
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 73,720,152
Proper Divisor Sum 36,596,402
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #37123747 ← → #37123763

Radix Representation

Decimal 37123750
Binary 10001101100111011010100110 (26 bits)
Octal 0o215473246
Hexadecimal 0x23676A6

Divisor Catalog (40)

1 2 5 10 17 25 34 50 85 125 170 250 425 625 850 1,250 1,747 2,125 3,494 4,250 8,735 10,625 17,470 21,250 29,699 43,675 59,398 87,350 148,495 218,375 296,990 436,750 742,475 1,091,875 1,484,950 2,183,750 3,712,375 7,424,750 18,561,875 37,123,750

Collatz Trajectory (227 steps to reach 1)

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

37,123,750 18,561,875 55,685,626 27,842,813 83,528,440 41,764,220 20,882,110 10,441,055 31,323,166 15,661,583 46,984,750 23,492,375 70,477,126 35,238,563 105,715,690 52,857,845 158,573,536 79,286,768 39,643,384 19,821,692 9,910,846 4,955,423 14,866,270 7,433,135 22,299,406 11,149,703 33,449,110 16,724,555 50,173,666 25,086,833 75,260,500 37,630,250 18,815,125 56,445,376 28,222,688 14,111,344 7,055,672 3,527,836 1,763,918 881,959 2,645,878 1,322,939 3,968,818 1,984,409 5,953,228 2,976,614 1,488,307 4,464,922 2,232,461 6,697,384 3,348,692 1,674,346 837,173 2,511,520 1,255,760 627,880 313,940 156,970 78,485 235,456

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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