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Ratio Atlas
Atlas › Integer Profiles › Node 10,071,775
10,071,775
52 × 7 × 67 × 859
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 67 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,503,040
Proper Divisor Sum 4,431,265
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10071757 ← → #10071779

Radix Representation

Decimal 10071775
Binary 100110011010111011011111 (24 bits)
Octal 0o46327337
Hexadecimal 0x99AEDF

Divisor Catalog (24)

1 5 7 25 35 67 175 335 469 859 1,675 2,345 4,295 6,013 11,725 21,475 30,065 57,553 150,325 287,765 402,871 1,438,825 2,014,355 10,071,775

Collatz Trajectory (251 steps to reach 1)

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

10,071,775 30,215,326 15,107,663 45,322,990 22,661,495 67,984,486 33,992,243 101,976,730 50,988,365 152,965,096 76,482,548 38,241,274 19,120,637 57,361,912 28,680,956 14,340,478 7,170,239 21,510,718 10,755,359 32,266,078 16,133,039 48,399,118 24,199,559 72,598,678 36,299,339 108,898,018 54,449,009 163,347,028 81,673,514 40,836,757 122,510,272 61,255,136 30,627,568 15,313,784 7,656,892 3,828,446 1,914,223 5,742,670 2,871,335 8,614,006 4,307,003 12,921,010 6,460,505 19,381,516 9,690,758 4,845,379 14,536,138 7,268,069 21,804,208 10,902,104 5,451,052 2,725,526 1,362,763 4,088,290 2,044,145 6,132,436 3,066,218 1,533,109 4,599,328 2,299,664

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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