λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,356,460
76,356,460
22 × 5 × 97 × 39359
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 97 × 39359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 162,005,760
Proper Divisor Sum 85,649,300
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #76356451 ← → #76356463

Radix Representation

Decimal 76356460
Binary 100100011010001101101101100 (27 bits)
Octal 0o443215554
Hexadecimal 0x48D1B6C

Divisor Catalog (24)

1 2 4 5 10 20 97 194 388 485 970 1,940 39,359 78,718 157,436 196,795 393,590 787,180 3,817,823 7,635,646 15,271,292 19,089,115 38,178,230 76,356,460

Collatz Trajectory (197 steps to reach 1)

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

76,356,460 38,178,230 19,089,115 57,267,346 28,633,673 85,901,020 42,950,510 21,475,255 64,425,766 32,212,883 96,638,650 48,319,325 144,957,976 72,478,988 36,239,494 18,119,747 54,359,242 27,179,621 81,538,864 40,769,432 20,384,716 10,192,358 5,096,179 15,288,538 7,644,269 22,932,808 11,466,404 5,733,202 2,866,601 8,599,804 4,299,902 2,149,951 6,449,854 3,224,927 9,674,782 4,837,391 14,512,174 7,256,087 21,768,262 10,884,131 32,652,394 16,326,197 48,978,592 24,489,296 12,244,648 6,122,324 3,061,162 1,530,581 4,591,744 2,295,872 1,147,936 573,968 286,984 143,492 71,746 35,873 107,620 53,810 26,905 80,716

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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