λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,939,768
36,939,768
23 × 3 × 79 × 19483
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 79 × 19483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,523,200
Proper Divisor Sum 56,583,432
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #36939733 ← → #36939797

Radix Representation

Decimal 36939768
Binary 10001100111010011111111000 (26 bits)
Octal 0o214723770
Hexadecimal 0x233A7F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1,896 19,483 38,966 58,449 77,932 116,898 155,864 233,796 467,592 1,539,157 3,078,314 4,617,471 6,156,628 9,234,942 12,313,256 18,469,884 36,939,768

Collatz Trajectory (134 steps to reach 1)

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

36,939,768 18,469,884 9,234,942 4,617,471 13,852,414 6,926,207 20,778,622 10,389,311 31,167,934 15,583,967 46,751,902 23,375,951 70,127,854 35,063,927 105,191,782 52,595,891 157,787,674 78,893,837 236,681,512 118,340,756 59,170,378 29,585,189 88,755,568 44,377,784 22,188,892 11,094,446 5,547,223 16,641,670 8,320,835 24,962,506 12,481,253 37,443,760 18,721,880 9,360,940 4,680,470 2,340,235 7,020,706 3,510,353 10,531,060 5,265,530 2,632,765 7,898,296 3,949,148 1,974,574 987,287 2,961,862 1,480,931 4,442,794 2,221,397 6,664,192 3,332,096 1,666,048 833,024 416,512 208,256 104,128 52,064 26,032 13,016 6,508

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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