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Ratio Atlas
Atlas › Integer Profiles › Node 856,016
856,016
24 × 7 × 7643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 7643
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,895,712
Proper Divisor Sum 1,039,696
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #855997 ← → #856021

Radix Representation

Decimal 856016
Binary 11010000111111010000 (20 bits)
Octal 0o3207720
Hexadecimal 0xD0FD0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 7,643 15,286 30,572 53,501 61,144 107,002 122,288 214,004 428,008 856,016

Collatz Trajectory (56 steps to reach 1)

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

856,016 428,008 214,004 107,002 53,501 160,504 80,252 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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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