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Ratio Atlas
Atlas › Integer Profiles › Node 37,123,748
37,123,748
22 × 23 × 271 × 1489
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 23 × 271 × 1489
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 68,087,040
Proper Divisor Sum 30,963,292
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #37123747 ← → #37123763

Radix Representation

Decimal 37123748
Binary 10001101100111011010100100 (26 bits)
Octal 0o215473244
Hexadecimal 0x23676A4

Divisor Catalog (24)

1 2 4 23 46 92 271 542 1,084 1,489 2,978 5,956 6,233 12,466 24,932 34,247 68,494 136,988 403,519 807,038 1,614,076 9,280,937 18,561,874 37,123,748

Collatz Trajectory (227 steps to reach 1)

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

37,123,748 18,561,874 9,280,937 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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