λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,976
10,071,976
23 × 19 × 23 × 43 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 19 × 23 × 43 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,542,400
Proper Divisor Sum 11,470,424
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #10071923 ← → #10071979

Radix Representation

Decimal 10071976
Binary 100110011010111110101000 (24 bits)
Octal 0o46327650
Hexadecimal 0x99AFA8

Divisor Catalog (60 of 64)

1 2 4 8 19 23 38 43 46 67 76 86 92 134 152 172 184 268 344 437 536 817 874 989 1,273 1,541 1,634 1,748 1,978 2,546 2,881 3,082 3,268 3,496 3,956 5,092 5,762 6,164 6,536 7,912 10,184 11,524 12,328 18,791 23,048 29,279 37,582 54,739 58,558 66,263 75,164 109,478 117,116 132,526 150,328 218,956 234,232 265,052 437,912 530,104

Collatz Trajectory (57 steps to reach 1)

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

10,071,976 5,035,988 2,517,994 1,258,997 3,776,992 1,888,496 944,248 472,124 236,062 118,031 354,094 177,047 531,142 265,571 796,714 398,357 1,195,072 597,536 298,768 149,384 74,692 37,346 18,673 56,020 28,010 14,005 42,016 21,008 10,504 5,252 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 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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