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Ratio Atlas
Atlas › Integer Profiles › Node 76,083,136
76,083,136
26 × 227 × 5237
Deficient Even Composite

Prime Factor Structure

Factorization String 2^6 × 227 × 5237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 151,671,528
Proper Divisor Sum 75,588,392
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #76083127 ← → #76083157

Radix Representation

Decimal 76083136
Binary 100100010001110111111000000 (27 bits)
Octal 0o442167700
Hexadecimal 0x488EFC0

Divisor Catalog (28)

1 2 4 8 16 32 64 227 454 908 1,816 3,632 5,237 7,264 10,474 14,528 20,948 41,896 83,792 167,584 335,168 1,188,799 2,377,598 4,755,196 9,510,392 19,020,784 38,041,568 76,083,136

Collatz Trajectory (166 steps to reach 1)

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

76,083,136 38,041,568 19,020,784 9,510,392 4,755,196 2,377,598 1,188,799 3,566,398 1,783,199 5,349,598 2,674,799 8,024,398 4,012,199 12,036,598 6,018,299 18,054,898 9,027,449 27,082,348 13,541,174 6,770,587 20,311,762 10,155,881 30,467,644 15,233,822 7,616,911 22,850,734 11,425,367 34,276,102 17,138,051 51,414,154 25,707,077 77,121,232 38,560,616 19,280,308 9,640,154 4,820,077 14,460,232 7,230,116 3,615,058 1,807,529 5,422,588 2,711,294 1,355,647 4,066,942 2,033,471 6,100,414 3,050,207 9,150,622 4,575,311 13,725,934 6,862,967 20,588,902 10,294,451 30,883,354 15,441,677 46,325,032 23,162,516 11,581,258 5,790,629 17,371,888

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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