λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,123,749
37,123,749
32 × 13 × 43 × 47 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 43 × 47 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 60,732,672
Proper Divisor Sum 23,608,923
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #37123747 ← → #37123763

Radix Representation

Decimal 37123749
Binary 10001101100111011010100101 (26 bits)
Octal 0o215473245
Hexadecimal 0x23676A5

Divisor Catalog (48)

1 3 9 13 39 43 47 117 129 141 157 387 423 471 559 611 1,413 1,677 1,833 2,021 2,041 5,031 5,499 6,063 6,123 6,751 7,379 18,189 18,369 20,253 22,137 26,273 60,759 66,411 78,819 87,763 95,927 236,457 263,289 287,781 317,297 789,867 863,343 951,891 2,855,673 4,124,861 12,374,583 37,123,749

Collatz Trajectory (227 steps to reach 1)

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

37,123,749 111,371,248 55,685,624 27,842,812 13,921,406 6,960,703 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 #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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