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Ratio Atlas
Atlas › Integer Profiles › Node 77,130
77,130
2 × 32 × 5 × 857
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 200,772
Proper Divisor Sum 123,642
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #77101 ← → #77137

Radix Representation

Decimal 77130
Binary 10010110101001010 (17 bits)
Octal 0o226512
Hexadecimal 0x12D4A

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 857 1,714 2,571 4,285 5,142 7,713 8,570 12,855 15,426 25,710 38,565 77,130

Collatz Trajectory (76 steps to reach 1)

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

77,130 38,565 115,696 57,848 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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